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)

𝑥01234
𝑦125811

(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.

𝑥123
𝑦357

Q4:

Find the rate of change represented in the given graph.

  • A43
  • B34
  • C34
  • D43
  • E38

Q5:

Car A:

Time (min)3040
Speed (km/h)5070

Car B:

Time (min)1520
Speed (km/h)4045

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.

Months06
Money Saved (LE)1,0004,000
  • 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 𝑦 or 𝑧 have a higher rate of change with respect to 𝑥?

𝑥024
𝑧024
  • ATheyhaveequalratesofchange.
  • B𝑧
  • C𝑦

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