Question

An insect population doubles every week. The function f(x)= 10(2)^x models the insect population after x weeks what will the population be after 4 weeks?

A.80
B.20,000
C.160

Answer 1

Given:

The insect population function is:

`f(x)=10(2)^x`

Where x is the number of weeks.

To find:

The population after 4 weeks.

Solution:

The population of insect after x weeks is given by:

`f(x)=10(2)^x`

We need to find the population after 4 weeks.

After substituting
`x=4`, we get

`f(4)=10(2)^4`

`f(4)=10(16)`

`f(4)=160`

The population after 4 weeks is 160. Therefore, the correct option is C.