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.