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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

1 Answer

4 votes

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.

User Leonigmig
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