AnswersAL-Mathematics 7 AGraphing Proportional Relationships

Graphing Proportional Relationships Answers

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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
22
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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.”
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What do the differences between the points (as shown on the graph) represent?

Question illustration
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
24

What does point A represent on the graph?

Question illustration
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
25

Which statement about the graph is true?

Question illustration
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.
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