Question

F(t) = 200(0.95)^t
What is the rate of change?

Answer 1

the rate of change is 5%

Explanation:

Given : Function

To find: What is the rate of change?

Solution :

The given function is an exponential function as it is in form

in which b is the factor of rate,

If b=1+r then r is the growth rate

If b=1-r then r is the decay rate.

We have given b=0.95

So, 0.95=1-r

r=1-0.95

r=0.05

i.e, It is a decay rate with 5%.

Therefore, The rate of change is 5%.

Answer 2

f(t)=-5%

Explanation: