Question

The expression below shows the population of foxes in a forest after 12x years.

f(x) = 50(1.05)12^x

Which of the following is an equivalent function?

A. f(x) = 50(1.7959)^x

B. f(x) = 50(12.6000)^x

C. f(x) = 600(1.05)^x

D. f(x) = 4.2(1.05)^x

Answer 1

Answer : Option 'A' is correct.

Explanation:

Since we have given that

`f(x)=50(1.05)^(12x)`

we need to find the equivalent function,

So, we will apply the "exponential function" :

`(a^m)^n=a^(mn)`

So, we will use this in the above expression:

`f(x)=50\{1.05)^(12)\}^x\\\\f(x)=50(1.7959)^x`

Hence, Option 'A' is correct.