AnswersPPS Algebra II A CRRate of Change and Introduction to Slope

Rate of Change and Introduction to Slope Answers

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1
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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.
2
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Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period. Alexa’s GraphMia’s TableBased on the data on the graph and in the table, which statement gives an accurate comparison?

Question illustration
A
Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Option A
B
Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Option B
C
Mia traveled at a faster rate because the slope of the line described by the data in her table is , which is greater than the slope of the line on Alexa’s graph.
Option C
D
Mia traveled at a faster rate because the slope of the line described by the data in her table is , which is greater than the slope of the line on Alexa’s graph.
Option D
3

The ordered pairs in the table below represent a linear function.xy2359What is the slope of the function?

A
One-fourth
Option A
B
One-half
Option B
C
2
D
4
4

The table below shows how much Joe earns, y, after working x hours. Joe’s EarningsHours workedMoney earned4$3010$7512$9022$165The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?

A
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
B
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
C
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
D
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
5

What is the slope of the line on the graph below?

Question illustration
A
One-fifth
Option A
B
One-third
Option B
C
3
D
5
6

The lines on the graph below represent the cost of apples at four different stores. At which store is the cost of apples the least?

Question illustration
A
A
B
B
C
C
D
D
7

The graph below represents the total shipping cost of x items for four different companies. Shipping ChargesWhich list places the companies in order from the steepest slope to the least steep slope?

Question illustration
A
W, Z, U, Y
B
U, Y, W, Z
C
W, Z, Y, U
D
U, Y, Z, W
8

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
9

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.
10

Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below.xy132?He remembers that the slope of the line through the ordered pairs in the table was 4. What is the missing y-value in the table?

A
5
B
7
C
8
D
12

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