Question

hi, having trouble figuring this out and providing the function.. 5 foxes enter the wild in year 0..each year there were four times as many foxes as the year before..... how many foxes were there after X years....I have no idea how to represent that as a function

Answer 1

Given:

Initial number of foxes = 5

Each year there were four times as many foxes as the year before.

Let's find the number of foxes after X years.

Here, we are to apply the exponential growth function:

`f(x)=a(b)^x`

Where:

a is the initial number of foxes = 5

b is the growth factor.

Since each year there were four times as many foxes as the year before, the growth factor will be:

b = 4

Therefore, the number of foxes after x years will be:

`f(x)=5(4)^x`

Where x represents the number if years.

ANSWER:

`f(x)=5(4)^x`