Question

In the function f(t) = 30(0.97)^t, what is the rate of change?

a. 3% growth
b. 3% decay
c. 97% decay
d. 97% growth

Answer 1

B
1-.97=.03
r>1=>growth
r <1=>decay
r=1=> no change

Answer 2

Option b - 3% decay

Explanation:

We have given that :
`f(t) = 30(0.97)^t`

To find : Rate of change

Solution : Let the rate of change is denoted by r

and the growth rate of given function is 1-r = 0.97

⇒ r =1-0.97 = 0.03

⇒ r= 3%

Since the growth rate is -ve therefore, there is a decay rate

The rate of change is 3% decay -Option b is correct