Question
The second number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
y-value.
x-value.
rate.
constant of proportionality.
y-value.
x-value.
rate.
constant of proportionality.
Answers
Answer
Which table shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments?
mc012-1.jpg
mc012-2.jpg
mc012-3.jpg
mc012-4.jpg
mc012-1.jpg
mc012-2.jpg
mc012-3.jpg
mc012-4.jpg
Answer
Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix. What is the constant of proportionality for the ratio of pancake mix to milk?
Two-thirds
StartFraction 6 over 9 EndFraction
Three-halves
StartFraction 9 over 6 EndFraction
Two-thirds
StartFraction 6 over 9 EndFraction
Three-halves
StartFraction 9 over 6 EndFraction
Answer
The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
x-value.
y-value.
constant of proportionality.
unit rate.
x-value.
y-value.
constant of proportionality.
unit rate.
Answer
Sharon graphed the formula for converting weight from kilograms to pounds.
A line graph titled Conversion Chart has Pounds on the x-axis and Kilograms on the y-axis. 33 pounds is 15 kilograms, 88 pounds is 40 kilograms.
If an item weighs 45 kilograms, what is its weight in pounds?
20
63
90
99
A line graph titled Conversion Chart has Pounds on the x-axis and Kilograms on the y-axis. 33 pounds is 15 kilograms, 88 pounds is 40 kilograms.
If an item weighs 45 kilograms, what is its weight in pounds?
20
63
90
99
Answer
The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.
Book Sales Revenue
mc017-1.jpg
What is the constant of proportionality?
0.67
1
1.5
2
Book Sales Revenue
mc017-1.jpg
What is the constant of proportionality?
0.67
1
1.5
2
Answer
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
$20.00
$60.00
$70.00
$110.00
$20.00
$60.00
$70.00
$110.00
Answer
This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes.
Cubes
Boxes
Number of cubes
1
n
5
625
8
1,000
What is the unknown value representing the unit rate?
8
125
140
156
Cubes
Boxes
Number of cubes
1
n
5
625
8
1,000
What is the unknown value representing the unit rate?
8
125
140
156
Answer
Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would Vince weigh on the other planet?
40 lb
64 lb
76 lb
90 lb
40 lb
64 lb
76 lb
90 lb
Answer
Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the week number. On week 8, she had $20.00. On week 12, she had $30.00. How much money will be in the savings account on week 100?
A line graph titled Nia's Savings has week number on the x-axis, and Amount in Savings on the y-axis. At week 8 she had 20 dollars, at week 12 she had 30 dollars.
$40
$66
$225
$250
A line graph titled Nia's Savings has week number on the x-axis, and Amount in Savings on the y-axis. At week 8 she had 20 dollars, at week 12 she had 30 dollars.
$40
$66
$225
$250
Answered by
GPT 3.5
y-value.
Answered by
GPT 3.5
The table that shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments is mc012-3.jpg.
Answered by
GPT 3.5
To find the constant of proportionality for the ratio of pancake mix to milk, we need to compare the two quantities. In this case, the pancake mix corresponds to 9 cups and the milk corresponds to 6 cups.
To find the constant of proportionality, we divide the quantity of pancake mix by the quantity of milk:
9 cups / 6 cups
Simplifying this fraction, we get:
3/2 or Three-halves
Therefore, the constant of proportionality for the ratio of pancake mix to milk is Three-halves.
To find the constant of proportionality, we divide the quantity of pancake mix by the quantity of milk:
9 cups / 6 cups
Simplifying this fraction, we get:
3/2 or Three-halves
Therefore, the constant of proportionality for the ratio of pancake mix to milk is Three-halves.
Answered by
GPT 3.5
The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is the x-value.
Answered by
GPT 3.5
Based on the given conversion chart, we can see that the relationship between pounds and kilograms is linear. We can use this information to determine the weight in pounds for an item weighing 45 kilograms.
To find the weight in pounds, we need to determine the corresponding value on the x-axis (pounds) for the given y-axis value (kilograms).
From the chart, we can observe that 33 pounds is 15 kilograms, and 88 pounds is 40 kilograms. By comparing these two points, we can determine the slope of the line, which represents the rate of change or the constant of proportionality.
(change in y) / (change in x) = (40 - 15) / (88 - 33) = 25 / 55 = 5 / 11
This means that for every 11-pound increase on the x-axis, the weight in kilograms increases by 5. Using this proportionality, we can calculate the weight in pounds corresponding to 45 kilograms:
(change in x) = (change in y) * (11/5)
(change in x) = 45 * (11/5) = 99
Therefore, an item weighing 45 kilograms would weigh approximately 99 pounds.
To find the weight in pounds, we need to determine the corresponding value on the x-axis (pounds) for the given y-axis value (kilograms).
From the chart, we can observe that 33 pounds is 15 kilograms, and 88 pounds is 40 kilograms. By comparing these two points, we can determine the slope of the line, which represents the rate of change or the constant of proportionality.
(change in y) / (change in x) = (40 - 15) / (88 - 33) = 25 / 55 = 5 / 11
This means that for every 11-pound increase on the x-axis, the weight in kilograms increases by 5. Using this proportionality, we can calculate the weight in pounds corresponding to 45 kilograms:
(change in x) = (change in y) * (11/5)
(change in x) = 45 * (11/5) = 99
Therefore, an item weighing 45 kilograms would weigh approximately 99 pounds.
Answered by
GPT 3.5
To find the constant of proportionality for a proportional relationship, we need to look at the ratio between the two variables in the relationship. In this case, the constant of proportionality represents the amount of money collected from book sales for each book sold.
From the graph, we can see that as the number of books sold increases by 2, the amount of money collected from book sales increases by 3. This tells us that the constant of proportionality is 3/2 or 1.5.
Therefore, the constant of proportionality in this graph is 1.5.
From the graph, we can see that as the number of books sold increases by 2, the amount of money collected from book sales increases by 3. This tells us that the constant of proportionality is 3/2 or 1.5.
Therefore, the constant of proportionality in this graph is 1.5.
Answered by
GPT 3.5
To determine the budget for Melissa's family to make the one-way trip, we need to calculate the total cost of gasoline for the entire trip.
First, let's find the cost per gallon of gasoline:
$10.50 / 3 gallons = $3.50/gallon
Next, we need to determine the total number of gallons required for the trip:
20 gallons
Finally, we can calculate the total cost of gasoline:
20 gallons * $3.50/gallon = $<<20*3.5=70.00>>70.00
Therefore, Melissa's family should budget $70.00 to make the one-way trip.
First, let's find the cost per gallon of gasoline:
$10.50 / 3 gallons = $3.50/gallon
Next, we need to determine the total number of gallons required for the trip:
20 gallons
Finally, we can calculate the total cost of gasoline:
20 gallons * $3.50/gallon = $<<20*3.5=70.00>>70.00
Therefore, Melissa's family should budget $70.00 to make the one-way trip.
Answered by
GPT 3.5
To find the unknown value representing the unit rate, we need to determine the ratio between the number of cubes and the number of boxes, and then identify the consistent value across the different data points.
Looking at the table, we can calculate the unit rate by dividing the number of cubes by the number of boxes:
5 cubes / n boxes = 625 cubes / 8 boxes = 1,000 cubes / 156 boxes.
By comparing the three ratios, we can see that the consistent value for the number of cubes is 625.
Therefore, the unknown value representing the unit rate is 625.
Looking at the table, we can calculate the unit rate by dividing the number of cubes by the number of boxes:
5 cubes / n boxes = 625 cubes / 8 boxes = 1,000 cubes / 156 boxes.
By comparing the three ratios, we can see that the consistent value for the number of cubes is 625.
Therefore, the unknown value representing the unit rate is 625.
Answered by
GPT 3.5
To find Vince's weight on the other planet, we can set up a proportion using the weights on Earth and the weights on the other planet.
The proportion can be set up as:
160 pounds on Earth / Vince's weight on the other planet = 140 pounds on Earth / Nadir's weight on the other planet.
To find Vince's weight on the other planet, we can cross-multiply and solve for his weight:
160 pounds * Nadir's weight on the other planet = 140 pounds * Vince's weight on the other planet.
Next, we divide both sides of the equation by 140 pounds:
(160 pounds * Nadir's weight on the other planet) / 140 pounds = Vince's weight on the other planet.
Plugging in the given information that Nadir's weight on the other planet is about 56 pounds, we can calculate Vince's weight on the other planet:
(160 pounds * 56 pounds) / 140 pounds = 6400 pounds / 140 pounds = 45.71 pounds.
To find the approximate value, we round to the nearest pound, and thus Vince would weigh approximately 46 pounds on the other planet.
Therefore, Vince would weigh approximately 46 pounds on the other planet.
The proportion can be set up as:
160 pounds on Earth / Vince's weight on the other planet = 140 pounds on Earth / Nadir's weight on the other planet.
To find Vince's weight on the other planet, we can cross-multiply and solve for his weight:
160 pounds * Nadir's weight on the other planet = 140 pounds * Vince's weight on the other planet.
Next, we divide both sides of the equation by 140 pounds:
(160 pounds * Nadir's weight on the other planet) / 140 pounds = Vince's weight on the other planet.
Plugging in the given information that Nadir's weight on the other planet is about 56 pounds, we can calculate Vince's weight on the other planet:
(160 pounds * 56 pounds) / 140 pounds = 6400 pounds / 140 pounds = 45.71 pounds.
To find the approximate value, we round to the nearest pound, and thus Vince would weigh approximately 46 pounds on the other planet.
Therefore, Vince would weigh approximately 46 pounds on the other planet.
Answered by
GPT 3.5
To find the amount of money that will be in the savings account on week 100, we can first determine the constant of proportionality between the week number and the amount in the savings account.
From the graph, we can see that on week 8, Nia had $20, and on week 12, she had $30. This indicates that for every 4-week increase in the week number, the amount in the savings account increases by $10.
Next, we need to find how many 4-week periods are in 100 weeks:
100 weeks / 4 weeks/period = 25 periods.
Now, we can calculate the total increase in the amount in the savings account:
25 periods * $10/period = $250.
Finally, to find the total amount in the savings account on week 100, we add this increase to the starting amount:
$20 + $250 = $270.
Therefore, there will be $270 in the savings account on week 100.
From the graph, we can see that on week 8, Nia had $20, and on week 12, she had $30. This indicates that for every 4-week increase in the week number, the amount in the savings account increases by $10.
Next, we need to find how many 4-week periods are in 100 weeks:
100 weeks / 4 weeks/period = 25 periods.
Now, we can calculate the total increase in the amount in the savings account:
25 periods * $10/period = $250.
Finally, to find the total amount in the savings account on week 100, we add this increase to the starting amount:
$20 + $250 = $270.
Therefore, there will be $270 in the savings account on week 100.
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