Question

Which equation represents exponential growth? A. f ( x ) = 4 ( 0 . 07 ) x B. f ( x ) = 2 ( 0 . 44 ) x C. f ( x ) = 1 2 ( 6 ) x D. f ( x ) = 7 ( 1 2 ) x\

Answer 1

It is indeed C

Step-by-step Solution:

(11/28/22)

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Answer 2

Option C.

Explanation:

The general form of exponential growth function is

`f(x)=ab^x`

where, a is initial values and b is growth factor, b>1.

The given function are

`f(x)=4(0.07)^x`

`f(x)=2(0.44)^x`

`f(x)=(1)/(2)(6)^x`

`f(x)=7((1)/(2))^x`

In functions 1,2, and 4 the values of b are 0.07, 0.44 and 1/2 respectively. The values of b are less than 1. It means they represent exponential decay.

In function 3, the values of b is 6, which is greater than 1. It means it represent exponential growth.

Therefore, the correct option is C.