Question

What functions above are models an exponential Growth?

Answer 1

While `A=20,000(1.08)^t`; `P=1700(1.07)^t` and `A=40(3)^t` are cases of exponential growth
`A=80(1/2)^t`; `A=1600(0.8)^t` and `P=1700(0.93)^t` are cases of exponential decline.

Explanation:

When we have a function of the type `y=ka^x`,

if `a>1`, we have exponential growth

and if `a<1`, we have exponential decline.

As such `A=20,000(1.08)^t`; `P=1700(1.07)^t` and `A=40(3)^t` as cases of exponential growth

and `A=80(1/2)^t`; `A=1600(0.8)^t` and `P=1700(0.93)^t` as cases of exponential decline.