Question

HELP ASAP PLEASE!!! This is a written response

Is the equation exponential growth or decay?

How do you know?

y = 3(0.5)^x

Answer 1

Exponential decay.

Explanation:

The magnitude of the base (also known as the "common factor") tells us whether a given exponential equation represents growth or decay.

Standard equation for expo. growth: y = 3(b)^x, where b is the base.

If 0<b<1, we have expo. decay; if 1<b, we have expo. growth.

Thus, y = 3(0.5)^x represents expo. decay.