Cost of Pencils
Quantity Cost
($)
48 12.00
24 6.00
12 3.00
6 1.50
Determine the cost for 1 pencil.
(1 point)
Responses
$9.00
$9.00
$4.00
$4.00
$25.00
$25.00
$0.25
13 answers
$0.25
Linear Measurement
Inches Centimeters
5 12.7
4 10.16
3 7.62
2 5.08
How many centimeters are in 1 inch?
(1 point)
Responses
2.54 centimeters
2.54 centimeters
25.08 centimeters
Start fraction 2 over 5.08 end fraction centimeters
0.394 centimeters
0.394 centimeters
3.54 centimeters
Inches Centimeters
5 12.7
4 10.16
3 7.62
2 5.08
How many centimeters are in 1 inch?
(1 point)
Responses
2.54 centimeters
2.54 centimeters
25.08 centimeters
Start fraction 2 over 5.08 end fraction centimeters
0.394 centimeters
0.394 centimeters
3.54 centimeters
2.54 centimeters
Determine the unit rate for 1 bag of chips if 5 bags cost $6.25; the proportional relationship is described by 5y=$6.25x.(1 point)
Responses
$0.80
$0.80
$1.25
$1.25
$1
$1
$31.25
$31.25
Responses
$0.80
$0.80
$1.25
$1.25
$1
$1
$31.25
$31.25
To find the unit rate for 1 bag of chips, we divide the total cost by the number of bags.
Therefore, the unit rate is $1.25.
Therefore, the unit rate is $1.25.
John runs a marathon (26.2 miles) in 4 hours. Determine how many miles he runs per hour if the proportional relationship is represented by 4y=26.2x.(1 point)
Responses
6.55 mph
6.55 mph
7 mph
7 mph
0.15 mph
0.15 mph
104.8 mph
Responses
6.55 mph
6.55 mph
7 mph
7 mph
0.15 mph
0.15 mph
104.8 mph
To determine how many miles John runs per hour, we need to find the value of x when y = 1.
From the given proportional relationship 4y = 26.2x, we can substitute y = 1:
4(1) = 26.2x
4 = 26.2x
x = 4/26.2
x ≈ 0.152
Therefore, John runs approximately 0.152 miles per hour.
From the given proportional relationship 4y = 26.2x, we can substitute y = 1:
4(1) = 26.2x
4 = 26.2x
x = 4/26.2
x ≈ 0.152
Therefore, John runs approximately 0.152 miles per hour.
John runs a marathon (26.2 miles) in 4 hours. Determine how many miles he runs per hour if the proportional relationship is represented by 4y=26.2x.(1 point)
Responses
6.55 mph
6.55 mph
7 mph
7 mph
0.15 mph
0.15 mph
104.8 mph
104.8 mph
Responses
6.55 mph
6.55 mph
7 mph
7 mph
0.15 mph
0.15 mph
104.8 mph
104.8 mph
To determine how many miles John runs per hour, we need to find the value of x when y = 1.
From the given proportional relationship 4y = 26.2x, we can divide both sides by 4 to isolate x:
y = 26.2x/4
y = 6.55x
So, John runs approximately 6.55 miles per hour.
From the given proportional relationship 4y = 26.2x, we can divide both sides by 4 to isolate x:
y = 26.2x/4
y = 6.55x
So, John runs approximately 6.55 miles per hour.
The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x. Determine the number of centimeters in 1 inch.(1 point)
Responses
3 centimeters
3 centimeters
0.39 centimeters
0.39 centimeters
2.54 centimeters
2.54 centimeters
91.44 centimeters
91.44 centimeters
Responses
3 centimeters
3 centimeters
0.39 centimeters
0.39 centimeters
2.54 centimeters
2.54 centimeters
91.44 centimeters
91.44 centimeters
To determine the number of centimeters in 1 inch, we need to find the value of x when y = 1.
From the given proportional relationship 6y = 15.24x, we can divide both sides by 6 to isolate x:
y = 15.24x/6
y ≈ 2.54x
So, there are approximately 2.54 centimeters in 1 inch.
From the given proportional relationship 6y = 15.24x, we can divide both sides by 6 to isolate x:
y = 15.24x/6
y ≈ 2.54x
So, there are approximately 2.54 centimeters in 1 inch.
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
(1 point)
If the line passes through the origin, it means that the y-intercept is 0. Therefore, the equation of the line can be written as y = mx + 0, or simply y = mx.