Question

The expression f(x) = 12(1.035)x models the monthly growth of membership in the new drama club at a school. According to the function, what is the monthly growth rate?

A.
0.35%
B.
1.035%
C.
3.5%
D.
12%

Answer 1

C) 3.5%

Explanation:

Answer 2

Answer: Option 'C' is correct.

Explanation:

Since we have given that

The expression is defined as

`f(x)=12(1.035)^x------------------------(1)`

As we know the general form of exponential function:

`f(x)=a(1+r)^x--------------------------(2)`

Here, a denotes the initial amount.

r denotes the growth rate.

On comparing, we get that

`1+r=1.035\\\\r=1.035-1\\\\r=0.035\\\\r=0.035* 100\%\\\\r=3.5\%`

Hence, option 'C' is correct.