Equations of Proportional Relationships

Question 1

Which equation represents a proportional relationship that has a constant of proportionality equal to ?

Revolt · Accepted Answer

y = one-fifth x

Question 2

Which equation represents a proportional relationship that has a constant of proportionality equal to 2?

Revolt · Accepted Answer

y = 2 x

Question 3

Harry’s soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. If y represents the number of nonconference games and x represents the number of conference games, which equation best models this proportional relationship?

Revolt · Accepted Answer

y = two-thirds x

Question 4

Roni wants to write an equation to represent a proportional relationship that has a constant of proportionality equal to . She writes the equation . What error is Roni making?

Revolt · Accepted Answer

She should have written so that x and y have a constant quotient.

Question 5

Jacqueline reads 25 pages every night. Which graph correctly displays y, the total number of pages that Jacqueline has read after x days?

Revolt · Accepted Answer

On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).

Question 6

The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices.The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options.

Revolt · Accepted Answer

For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.; If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.

Question 7

A fruit stand sells 8-ounce containers of blueberries for $4.00. If y represents the cost of x ounces of blueberries, which equation correctly models this proportional relationship?

Revolt · Accepted Answer

y = 0.5 x

Question 8

The fine schedule for overdue books at the county library is modeled by the values in the table.Library Fines for Overdue BooksDays overdueAmount of fine00 ¢25 ¢410 ¢615 ¢820 ¢1025 ¢Which equation best models the fine schedule for overdue books?

Revolt · Accepted Answer

, where y is the cost in cents for a book that is x days overdue

Question 9

Samir works 15 hours for every 19 hours that Mitul works. If x represents the number of hours that Mitul works and y represents the hours that Samir works, which equation correctly models this relationship?

Revolt · Accepted Answer

y = StartFraction 15 over 19 EndFraction x

Question 10

Which equation represents a proportional relationship that has a constant of proportionality equal to ?

Revolt · Accepted Answer

StartFraction y over x EndFraction = StartFraction 7 over 10 EndFraction

Equations of Proportional Relationships Answers

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