FunctionsCourse skill

Reading exponential growth and decay

Read the percentage change from the multiplying factor.

  • For a positive initial amount in , gives growth and gives decay.
  • Growth rate: . Decay rate: .

Example 1

Growth factor

State whether the model represents growth or decay, and find the percentage rate.

12% growth per unit of time.

Example 2

Decay factor

State whether the model represents growth or decay, and find the percentage rate.

15% decay per unit of time.

Your turn

Question 1

State the percentage increase or decrease per unit of time.

Check answer
8% growth per unit of time.
Question 2

State the percentage increase or decrease per unit of time.

Check answer
8% decay per unit of time.
Question 3

State the percentage increase or decrease per unit of time.

Check answer
30% growth per unit of time.
Question 4

State the percentage increase or decrease per unit of time.

Check answer
2.5% decay per unit of time.
Question 5

State the percentage increase or decrease per unit of time.

Check answer
1.5% growth per unit of time.