AnswersAL-Mathematics 7 AGraphing Proportional Relationships

Graphing Proportional Relationships Answers

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1
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What do the differences between the points (as shown on the graph) represent?

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A
is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.
Option A
B
is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph.
Option B
C
can be used to find the unit rate if one divides 7 by 2 and compares the result to 1.
Option C
D
can be used to find the unit rate if one divides 2 by 7 and compares the result to 1.
Option D
2
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Which point represents the unit rate?

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A
A
B
B
C
C
D
D
3

Which statement about the graph is true?

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A
The graph shows a proportional relationship because it is a line, and the difference between each point is the same.
B
The graph shows a proportional relationship because it is a line, and each x-value is a multiple of 2.
C
The graph does not show a proportional relationship because each point written as a ratio gives a different value.
D
The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot have a constant of proportionality.
4

Chad created a table that shows the ratio of his sports game cards.Chad’s CardsCard TypeOutfieldInfieldCatcherPitchersQuantity3412Next, Chad created the graph below showing possible ratios for Pitchers cards to Infield cards in his deck. Which of the following statements are true?

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A
Chad correctly included the points (1, 2) and (3, 6) because they maintain the same ratio of 1 Pitcher card to 2 Infield cards.
B
Chad should not have included the points (1, 2) and (3, 6) because these points do not maintain the same ratio between Pitchers and Infield cards.
C
Chad should have labeled the axes in the same order as the table to match the data presentation.
D
Chad needs to switch the order of each (x, y) value to show the decreasing values of the Pitchers cards.
5

Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?

A
0.8 of an inspection in 1 hour
B
4 inspections in 5 hours
C
1.25 inspections in 1 hour
D
5 inspections in 4 hours
6

Marissa created a graph to show her hair growth since her last haircut.Which table represents the same relationship?

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A
A 2-column table with 3 rows titled Marissa's Hair Growth. Column 1 is labeled Months with entries 3, 6, 9. Column 2 is labeled Growth (inches) with entries 4, 8, 12.
Option A
B
A 2-column table with 3 rows titled Marissa's Hair Growth. Column 1 is labeled Months with entries 3, 5, 7. Column 2 is labeled Growth (inches) with entries 4, 5.5, 7.
Option B
C
A 2-column table with 3 rows titled Marissa's Hair Growth. Column 1 is labeled Months with entries 4, 6, 8. Column 2 is labeled Growth (inches) with entries 3, 5, 7.
Option C
D
A 2-column table with 3 rows titled Marissa's Hair Growth. Column 1 is labeled Months with entries 4, 6, 8. Column 2 is labeled Growth (inches) with entries 3, 4.5, 6.
Option D
7

Gregory noticed that his plant had grown 1.5 inches every two weeks since the day it sprouted. He created a table to show the plant’s weekly growth.Which statement about Gregory’s graph is true?

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A
Gregory’s graph is correct because it shows 1.5 inches of growth for each week.
B
Gregory’s graph is incorrect because it shows 1.5 inches of growth for each week when it should show 3 inches for each week.
C
Gregory’s graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.
D
Gregory’s graph is correct because it shows 1.5 inches of growth every two weeks.
8

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?

A
“Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.”
B
“Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.”
C
“Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate.”
D
“Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the difference in the corresponding x-values.”
9

The graph shows the rate at which the depth of the water in a pond is changing over time. The depth of the water is increasing by

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Answer not available
10

What does point A represent on the graph?

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A
Jordan needs 3 cups of diced chicken for 2 salads.
B
Jordan needs 2 cups of diced chicken for 3 salads.
C
Jordan needs 3 cups of diced chicken for salads.
Option C
D
Jordan needs cups of diced chicken for 3 salads.
Option D

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