AnswersHCISD-Mathematical Models with Applications B-CR SUMMEREquations of Proportional Relationships

Equations of Proportional Relationships Answers

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

A
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 horizontal line is at y = 25.
Option A
B
On a coordinate plane, an exponential curve graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis.
Option B
C
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 (0, 25) and (13, 40).
Option C
D
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).
Option D
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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?

A
y = StartFraction 15 over 19 EndFraction x
Option A
B
y = StartFraction 19 over 15 EndFraction x
Option B
C
y = 15 x + 19
Option C
D
y = 19 x + 15
Option D
3

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.

A
For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices.
B
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.
C
The Hernandez family’s slices are smaller than the Wilson family’s slices.
D
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.
E
The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.
4

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

A
y = x + 2
Option A
B
y = StartFraction x over 2 EndFraction
Option B
C
y = 2 x
Option C
D
y = 2
Option D
5

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

Question illustration
A
StartFraction y over x EndFraction = StartFraction 7 over 10 EndFraction
Option A
B
StartFraction y over x EndFraction = StartFraction 1 over 7 EndFraction
Option B
C
x y = StartFraction 7 over 10 EndFraction
Option C
D
x y = StartFraction 1 over 7 EndFraction
Option D
6

Rita is developing an equation that will represent the same proportional relationship as the graph.How will the ordered pair help her when she finds the equation?

Question illustration
A
The product of the coordinates will be a constant term in the equation.
B
The quotient of the coordinates will be a constant term in the equation.
C
The product of the coordinates will be a coefficient in the equation.
D
The quotient of the coordinates will be a coefficient in the equation.
7

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?

A
, where x is the cost in cents for a book that is y days overdue
Option A
B
, where y is the cost in cents for a book that is x days overdue
Option B
C
, where x is the cost in cents for a book that is y days overdue
Option C
D
, where y is the cost in cents for a book that is x days overdue
Option D

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