Web Analytics

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?

Af(x) = 50(1.7959)^x

Bf(x) = 50(12.6000)^x

Cf(x) = 600(1.05)^x

Df(x) = 4.2(1.05)^x

Verified Answer :

Answer : Option 'A' is correct.

Step-by-step 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.