Asked by AllAsStudent
Determine the initial value in the following description. A surfboard rental service charges $10 to reserve a board, and $5 for each hour of rental. (1 point)
Responses
b=10
b equals 10
b=−10
b equals negative 10
b=−5
b equals negative 5
b=5
Responses
b=10
b equals 10
b=−10
b equals negative 10
b=−5
b equals negative 5
b=5
Answers
Answered by
AllAsStudent
Use the table to answer the question.
x
y
−5
8
−7
14
Determine the rate of change and the initial value of the linear function given here as a table of values.
(1 point)
Responses
m=−3, b=−7
m equals negative 3 comma b equals negative 7
m=−0.5, b=10.5
m equals negative 0.5 comma b equals 10.5
m=−0.5, b=5.5
m equals negative 0.5 comma b equals 5.5
m=−7, b=−3
x
y
−5
8
−7
14
Determine the rate of change and the initial value of the linear function given here as a table of values.
(1 point)
Responses
m=−3, b=−7
m equals negative 3 comma b equals negative 7
m=−0.5, b=10.5
m equals negative 0.5 comma b equals 10.5
m=−0.5, b=5.5
m equals negative 0.5 comma b equals 5.5
m=−7, b=−3
Answered by
AllAsStudent
Use the table to answer the question.
Time spent driving (hours) Distance traveled (miles)
0 0
1/2
30
1 1/2
90
2 120
4 240
The table shows the distance traveled on a bus trip from Houston, TX to Dallas, TX as a function of time. Find the rate at which the bus is traveling.
(1 point)
Responses
70 mph
70 mph
55 mph
55 mph
60 mph
60 mph
65 mph
65 mph
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Time spent driving (hours) Distance traveled (miles)
0 0
1/2
30
1 1/2
90
2 120
4 240
The table shows the distance traveled on a bus trip from Houston, TX to Dallas, TX as a function of time. Find the rate at which the bus is traveling.
(1 point)
Responses
70 mph
70 mph
55 mph
55 mph
60 mph
60 mph
65 mph
65 mph
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Answered by
AllAsStudent
Which two points on a linear graph showing time and distance would indicate a rate of change of 80 km per hour?(1 point)
Responses
(4,400)
and (6,480)
left parenthesis 4 comma 400 right parenthesis and left parenthesis 6 comma 480 right parenthesis
(5,400)
and (6,560)
left parenthesis 5 comma 400 right parenthesis and left parenthesis 6 comma 560 right parenthesis
(4,320)
and (6,480)
left parenthesis 4 comma 320 right parenthesis and left parenthesis 6 comma 480 right parenthesis
(4,480)
and (6,600)
left parenthesis 4 comma 480 right parenthesis and left parenthesis 6 comma 600 right parenthesis
Responses
(4,400)
and (6,480)
left parenthesis 4 comma 400 right parenthesis and left parenthesis 6 comma 480 right parenthesis
(5,400)
and (6,560)
left parenthesis 5 comma 400 right parenthesis and left parenthesis 6 comma 560 right parenthesis
(4,320)
and (6,480)
left parenthesis 4 comma 320 right parenthesis and left parenthesis 6 comma 480 right parenthesis
(4,480)
and (6,600)
left parenthesis 4 comma 480 right parenthesis and left parenthesis 6 comma 600 right parenthesis
Answered by
AllAsStudent
In a linear function that describes a real-world situation, what part of the function corresponds to the initial value?(1 point)
Responses
the x
-value when y=1
the x -value when y equals 1
the y
-intercept
the y -intercept
the y
-value when x=1
the y -value when x equals 1
the x
-intercept
Responses
the x
-value when y=1
the x -value when y equals 1
the y
-intercept
the y -intercept
the y
-value when x=1
the y -value when x equals 1
the x
-intercept
Answered by
AllAsStudent
You are taking a road trip across several states. Your distance from your final destination is modeled with the equation f(x)=−350x+1,400
, where x
represents the number of days you have been traveling. Identify and interpret the initial value.(1 point)
Responses
The initial value of 350 represents the distance from your starting point to your final destination.
The initial value of 350 represents the distance from your starting point to your final destination.
The initial value of 1,400 represents the distance from your starting point to your final destination.
The initial value of 1,400 represents the distance from your starting point to your final destination.
The initial value of 1,400 represents the distance you travel each day.
The initial value of 1,400 represents the distance you travel each day.
The initial value of 350 represents the distance you travel each day.
, where x
represents the number of days you have been traveling. Identify and interpret the initial value.(1 point)
Responses
The initial value of 350 represents the distance from your starting point to your final destination.
The initial value of 350 represents the distance from your starting point to your final destination.
The initial value of 1,400 represents the distance from your starting point to your final destination.
The initial value of 1,400 represents the distance from your starting point to your final destination.
The initial value of 1,400 represents the distance you travel each day.
The initial value of 1,400 represents the distance you travel each day.
The initial value of 350 represents the distance you travel each day.
Answered by
AllAsStudent
What does the graph of a linear function look like?(1 point)
Responses
a circle
a circle
a parabola
a parabola
a straight line
a straight line
a curvy line
Responses
a circle
a circle
a parabola
a parabola
a straight line
a straight line
a curvy line
Answered by
AllAsStudent
Marie orders a shuttle to the airport and learns that it will cost $15 plus $0.50 per mile. Write the equation of a linear function that models the relationship between number of miles and total cost of the shuttle.(1 point)
Responses
y=7.5x
, where x
is the number of miles and y
is the total cost of the shuttle.
y equals 7.5 x , where x is the number of miles and y is the total cost of the shuttle.
y=0.5x+15
, where x
is the number of miles and y
is the total cost of the shuttle.
y equals 0.5 x plus 15 , where x is the number of miles and y is the total cost of the shuttle.
y=15x+0.5
, where x
is the number of miles and y
is the total cost of the shuttle.
y equals 15 x plus 0.5 , where x is the number of miles and y is the total cost of the shuttle.
y=x+7.5
, where x
is the number of miles and y
is the total cost of the shuttle.
Responses
y=7.5x
, where x
is the number of miles and y
is the total cost of the shuttle.
y equals 7.5 x , where x is the number of miles and y is the total cost of the shuttle.
y=0.5x+15
, where x
is the number of miles and y
is the total cost of the shuttle.
y equals 0.5 x plus 15 , where x is the number of miles and y is the total cost of the shuttle.
y=15x+0.5
, where x
is the number of miles and y
is the total cost of the shuttle.
y equals 15 x plus 0.5 , where x is the number of miles and y is the total cost of the shuttle.
y=x+7.5
, where x
is the number of miles and y
is the total cost of the shuttle.
Answered by
AllAsStudent
se the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 50 to 50 in ten unit increments. The y-axis ranges from negative 20 to 120 in ten unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis 10 comma 70 right parenthesis and left parenthesis 25 comma 100 right parenthesis.
Write the equation of the linear function shown on the graph.
(1 point)
Responses
y=1/2x+50
y equals Start Fraction 1 over 2 End Fraction x plus 50
y=1/2x−25
y equals Start Fraction 1 over 2 End Fraction x minus 25
y=2x+50
y equals 2 x plus 50
y=2x−25
y equals 2 x minus 25
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An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 50 to 50 in ten unit increments. The y-axis ranges from negative 20 to 120 in ten unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis 10 comma 70 right parenthesis and left parenthesis 25 comma 100 right parenthesis.
Write the equation of the linear function shown on the graph.
(1 point)
Responses
y=1/2x+50
y equals Start Fraction 1 over 2 End Fraction x plus 50
y=1/2x−25
y equals Start Fraction 1 over 2 End Fraction x minus 25
y=2x+50
y equals 2 x plus 50
y=2x−25
y equals 2 x minus 25
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Answered by
AllAsStudent
Use the image to answer the question.
Linear Function 1:
A coordinate plane shows the x-axis ranging from negative 1 to 4 in increments of 1 and the y-axis ranging from negative 1 to 13 in increments of 1. A line with arrows at both ends joins two plotted points. The coordinates of the plotted points are as follows: left parenthesis 1 comma 9 right parenthesis and left parenthesis 2 comma 12 right parenthesis.
Linear Function 2:
x
y
0 2
5 42
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
(1 point)
Responses
Linear Function 1 has the greater rate of change, with a rate of change equal to 6 while Linear Function 2 has a rate of change equal to 2.
Linear Function 1 has the greater rate of change, with a rate of change equal to 6 while Linear Function 2 has a rate of change equal to 2.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 6.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 6.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 3.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 3.
Linear Function 1 has the greater rate of change, with a rate of change equal to 3 while Linear Function 2 has a rate of change equal to 2.
Linear Function 1 has the greater rate of change, with a rate of change equal to 3 while Linear Function 2 has a rate of change equal to 2.
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Linear Function 1:
A coordinate plane shows the x-axis ranging from negative 1 to 4 in increments of 1 and the y-axis ranging from negative 1 to 13 in increments of 1. A line with arrows at both ends joins two plotted points. The coordinates of the plotted points are as follows: left parenthesis 1 comma 9 right parenthesis and left parenthesis 2 comma 12 right parenthesis.
Linear Function 2:
x
y
0 2
5 42
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
(1 point)
Responses
Linear Function 1 has the greater rate of change, with a rate of change equal to 6 while Linear Function 2 has a rate of change equal to 2.
Linear Function 1 has the greater rate of change, with a rate of change equal to 6 while Linear Function 2 has a rate of change equal to 2.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 6.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 6.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 3.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 3.
Linear Function 1 has the greater rate of change, with a rate of change equal to 3 while Linear Function 2 has a rate of change equal to 2.
Linear Function 1 has the greater rate of change, with a rate of change equal to 3 while Linear Function 2 has a rate of change equal to 2.
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Answered by
AllAsStudent
A bathtub is filled with 40 gallons of water. The water starts draining out of the tub at a rate of 8 gallons per minute. Choose the sketch of a graph that shows the relationship between the number of minutes since the tub started draining and the number of gallons of water in the tub.(1 point)
Responses
A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A concave upward curve connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis. It passes through left parenthesis 4 comma 1 right parenthesis, and left parenthesis 1 comma 16 right parenthesis. Values are approximate.
Image with alt text: A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A concave upward curve connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis. It passes through left parenthesis 4 comma 1 right parenthesis, and left parenthesis 1 comma 16 right parenthesis. Values are approximate.
A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A concave downward curve connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis. It passes through left parenthesis 4 comma 25 right parenthesis, and left parenthesis 2 comma 37 right parenthesis. Values are approximate.
Image with alt text: A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A concave downward curve connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis. It passes through left parenthesis 4 comma 25 right parenthesis, and left parenthesis 2 comma 37 right parenthesis. Values are approximate.
A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A straight line connects the following two plotted points: left parenthesis 8 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A straight line connects the following two plotted points: left parenthesis 8 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis.
A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A straight line connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A straight line connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis.
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Responses
A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A concave upward curve connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis. It passes through left parenthesis 4 comma 1 right parenthesis, and left parenthesis 1 comma 16 right parenthesis. Values are approximate.
Image with alt text: A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A concave upward curve connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis. It passes through left parenthesis 4 comma 1 right parenthesis, and left parenthesis 1 comma 16 right parenthesis. Values are approximate.
A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A concave downward curve connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis. It passes through left parenthesis 4 comma 25 right parenthesis, and left parenthesis 2 comma 37 right parenthesis. Values are approximate.
Image with alt text: A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A concave downward curve connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis. It passes through left parenthesis 4 comma 25 right parenthesis, and left parenthesis 2 comma 37 right parenthesis. Values are approximate.
A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A straight line connects the following two plotted points: left parenthesis 8 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A straight line connects the following two plotted points: left parenthesis 8 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis.
A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A straight line connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis representing Number of Minutes, ranging from 0 to 7 in increments of 1. The y-axis represents the Number of Gallons of Water in Tub, ranging from 0 to 50 in increments of 5. A straight line connects the following two plotted points: left parenthesis 5 comma 0 right parenthesis and left parenthesis 0 comma 40 right parenthesis.
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Answered by
AllAsStudent
wow good job bot you actually all the questions right
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