Rate of Change and Introduction to Slope

Question 1

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

Revolt · Accepted Answer

StartFraction negative 4 minus 0 Over 0 minus 2 EndFraction

Question 2

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?

Revolt · Accepted Answer

Marsha earns the most money per item sold because her line increases at a faster rate than Dreya’s.

Question 3

Marisol attempted to determine the slope of a line based on the two points shown in the table below.xy–14310Step 1: (–1, 4) and (3, 10)Step 2: Step 3: Which statement best explains Marisol’s error?

Revolt · Accepted Answer

Marisol computed .

Question 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?

Revolt · Accepted Answer

The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.

Question 5

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

Revolt · Accepted Answer

One-third

Question 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?

Revolt · Accepted Answer

A

Question 7

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?

Revolt · Accepted Answer

Because , the slope of the climbing equipment at the gym is greater.

Question 8

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?

Revolt · Accepted Answer

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.

Question 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?

Revolt · Accepted Answer

The slope of the Wholesale table is of the slope of the Public table.

Question 10

The two graphs below compare the gallons of gasoline used and the total distance traveled for two different cars. Car 1Car 2Which comparison of the slopes of the two lines is accurate?

Revolt · Accepted Answer

The slope of Car 1’s graph is 5 greater than the slope of Car 2’s graph.

Rate of Change and Introduction to Slope Answers

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