Find the following:

Question

Initial amount, percent change, and growth factor. Then state if it’s decay or growth

g(t) = 2(5)^t

Answer 1

The general formula for exponential growth is g(t) = a(1+r)^t

a is the initial amount, r is the growth factor and t is time.

So in your question, the initial amount, a, is 2.

If (1+r) = 5, then r = 4.

To find the percent change, multiply r by 100. r=4, 4(100) = 400

Since r >1, this represents growth.