Question

Is y=3(5/2)x an exponential growth or decay

Answer 1

Growth

Explanation:

To determine the growth or decay of exponential function, we have to observe the base value -- the value below exponent -- which is 5/2.

For standard exponential function, y = abˣ

If the base has value between 0 < b < 1 then the graph decays.

If the base has value greater than 1 or b > 1 then the graph grows.

So the question is, "is 5/2 greater than 1?" 5/2 in decimal form is 2.5 which is greater than 1. So yes, 5/2 is greater than 1.

That satisfies the condition of b > 1 which means the function y = 3(5/2)ˣ is a growth exponential.