Question

Which of these values for p and a will cause the function f(x)=Pa^x to be an exponential growth function?

A.P=4;a=1/5
B.P=1/4;a=5
C.P=1/4;a=1/5
D.P=4;a=1

Answer 1

grouth is when a>1
if a=1, theer is no change
if a<1, it is exponetial decay


B is answer

Answer 2

The correct answer is:

B.P=1/4;a=5

Step-by-step explanation:

In order to represent exponential growth, a must be a positive number larger than 1. If it is a fraction less than 1, we are basically taking a percent (less than 100) of the number; this makes it smaller, which would be decay. If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P=1/4 and a=5.