# Lesson Worksheet: Slope and Rate of Change Mathematics • 8th Grade

In this worksheet, we will practice interpreting the slope of a straight line as the rate of change of two quantities.

Q1:

Which of the following functions has a rate of change that is more rapid than the function shown in the graph? • A
• B
• C
• D
• E

Q2:

Determine which of the given functions has the greatest rate of change.

(a)

 𝑥 𝑦 −2 −1 0 1 2 −2 2 6 10 14

(b) a function where the input is multiplied by 3 and subtracted from 4

(c) (d)

• Ac
• BThey have the same rate of change.
• Ca
• Db
• Ed

Q3:

At an amusement park, a booth was selling soft drinks. By 2:00 pm, 37 soft drinks were sold, and, by 4:00 pm, 69 were sold. Assuming that the booth was selling at a linear rate during this period, determine the slope of the line representing this information.

Q4:

Find the rate of change for the following graph. Q5:

Elizabeth and Scarlett are playing a video game. The given functions represent the number of levels each of them has finished. Who plays better? Scarlett’s Progress
Time (min)Number of Levels
43
129
2015
2418
• AElizabeth
• BScarlett

Q6:

Which of the following functions has a lower rate of change?

(a)

 𝑥 𝑦 9 3 −3 −9 2 −2 −6 −10

(b) A function with an output that is equal to the input divided by 3 and added to 5.

• AThey have the same rate of change.
• B(b)
• C(a)

Q7:

Find the slopes of , , and . • AThe slope of is 10, the slope of is 0, and the slope of is .
• BThe slope of is , the slope of is 0, and the slope of is .
• CThe slope of is 10, the slope of is undefined, and the slope of is .
• DThe slope of is 10, the slope of is 1, and the slope of is .
• EThe slope of is , the slope of is 1, and the slope of is .

Q8:

Which of the following best describes the slope of the line on the diagram? • Apositive
• B0
• Cnegative
• Dundefined

Q9:

The graph shows the distance covered in kilometers over a 15-hour hike. What are the fastest and slowest speeds recorded? • AFastest speed: km/h, slowest speed: km/h
• BFastest speed: 6 km/h, slowest speed: km/h
• CFastest speed: 3 km/h, slowest speed: km/h
• DFastest speed: 6 km/h, slowest speed: km/h
• EFastest speed: 3 km/h, slowest speed: km/h

Q10:

Use the graph to find out how many action figures each boy has. 