Question

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

Answer 1

We know that:
$(x^{m}) ^{n}= x^{mn}$
$f(x)= 50*(1.05) ^{12x} = 50 * ( 1.05^{12})^{x} = \\ =50*(1.7959) ^{x}$
Answer: A ) f ( x ) = 50(1.05)^x

Answer 2

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.