Question

Identify the initial amount a and the growth factor b in the exponential function. g(x) = 20 • 2x

Answer 1

Initial amount: 20

Growth factor: The amount doubles for every integer increase of x

Explanation:

I think the equation should be g(x) = 20(2^x) for it to be exponential.

The general form of an exponential equation is g(x) = a(b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.

We can see the amount double by evaluating a few value..

g(0) = 20(2^0) = 20(1) = 20 (initial amount)

g(1) = 20(2^1) = 20(2) = 40

g(2) = 20(2^2) = 20(4) = 80

g(3) = 20(2^3) = 20(8) = 160

This pattern will continue on