Rate of Change and Introduction to Slope Answers

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Which expression can be used to determine the slope of the linear function graphed below?

Question illustration
A
StartFraction negative 4 minus 0 Over 2 minus 0 EndFraction
Option A
B
StartFraction negative 4 minus 0 Over 0 minus 2 EndFraction
Option B
C
StartFraction 0 minus 2 Over negative 4 minus 0 EndFraction
Option C
D
StartFraction 2 minus 0 Over negative 4 minus 0 EndFraction
Option D
3

Ava wrote the expression to determine the slope of a line. Which table might represent Ava’s line?

Question illustration
A
A 2-column table with 2 rows. Column 1 is labeled x with entries 4, 3. Column 2 is labeled y with entries 2, 1.
Option A
B
A 2-column table with 2 rows. Column 1 is labeled x with entries 3, negative 1. Column 2 is labeled y with entries 4, negative 2.
Option B
C
A 2-column table with 2 rows. Column 1 is labeled x with entries 1, 3. Column 2 is labeled y with entries 2, 4.
Option C
D
A 2-column table with 2 rows. Column 1 is labeled x with entries 4, 2. Column 2 is labeled y with entries 3, 1.
Option D
4

Michelle and Andrea are walking laps for charity. The amount of money, y, that each girl raises for a certain number of laps, x, is shown in the tables below.MichelleAndreaWhich statement explains who will raise $100 with the fewest number of laps?

Question illustration
A
Michelle will, because the slope of the line described by the data in her table is the greatest.
B
Andrea will, because the slope of the line described by the data in her table is the greatest.
C
Michelle will, because her number of laps are increasing at a faster rate.
D
Andrea will, because her number of laps are increasing at a slower rate.
6

A store sells shirts to the public at one pricing scale and wholesale at another pricing scale. The tables below describe the cost, y, of x shirts. PublicWholesaleHow do the slopes of the lines created by each table compare?

Question illustration
A
The slope of the Public table is of the slope of the Wholesale table.
Option A
B
The slope of the Wholesale table is of the slope of the Public table.
Option B
C
The slope of the Public table is 12 times greater than the slope of the Wholesale table.
D
The slope of the Wholesale table is 12 times greater than the slope of the Public table.
7

The graph below shows the weekly salaries of two employees based on the number of items sold. SalariesWhich statement best explains who earns the most money per item sold?

Question illustration
A
Dreya earns the most money per item sold because her line increases at a faster rate than Marsha’s.
B
Marsha earns the most money per item sold because her line increases at a faster rate than Dreya’s.
C
Dreya earns the most money per item sold because her line begins at a higher point than Marsha’s.
D
Marsha earns the most money per item sold because her line begins at a higher point than Dreya’s.
8

The two tables below show the amount of tip, y, included on a bill charging x dollars. Which compares the slopes of the lines created by the tables?

Question illustration
A
The slope of the line for Restaurant B is times greater than the slope of the line for Restaurant A.
Option A
B
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
C
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
D
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.

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