kaceyreane88
Answered

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

Verified Answer :

apologiabiology

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


B is answer

The correct answer is:

B.P=1/4;a=5  

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.

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