contestada

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%

Respuesta :

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

The expression is defined as

[tex]f(x)=12(1.035)^x------------------------(1)[/tex]

As we know the general form of exponential function:

[tex]f(x)=a(1+r)^x--------------------------(2)[/tex]

Here, a denotes the initial amount.

r denotes the growth rate.

On comparing, we get that

[tex]1+r=1.035\\\\r=1.035-1\\\\r=0.035\\\\r=0.035\times 100\%\\\\r=3.5\%[/tex]

Hence, option 'C' is correct.

Answer:

C. 3.5% is the correct answer

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