# Lesson Worksheet: Patterns of Growth in Tables and Graphs Mathematics • 8th Grade

In this worksheet, we will practice identifying and working with patterns of growth in tables and graphs.

Q1:

Determine which of the given functions has a greater rate of change.

(a)

 𝑥 𝑦 0 1 2 3 4 −1 2 5 8 11

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

Q2:

Ethan was 45 inches tall. After 15 months, he was 54 inches tall. Determine the monthly rate of change of his height.

Q3:

Find the rate of change represented in the given table.

 𝑥 𝑦 1 2 3 3 5 7

Q4:

Find the rate of change represented in the given graph. • A
• B
• C
• D
• E

Q5:

Car A:

 Time (min) Speed (km/h) 30 40 50 70

Car B:

 Time (min) Speed (km/h) 15 20 40 45

True or False: The average rate of change of speed in car B is smaller in magnitude than that in car A.

• ATrue
• BFalse

Q6:

If the given table represents the money James saved during six months, find the monthly rate by which James saved up.

Months Money Saved (LE) 0 6 1,000 4,000
• A3,000 LE per month
• B2,000 LE per month
• C1,000 LE per month
• D4,000 LE per month
• E500 LE per month

Q7:

Does or have a higher rate of change with respect to ?

 𝑥 𝑧 0 2 4 0 2 4 • A
• B
• C