Answer:
[tex]f(x) = 7(1.06)^8[/tex]
Step-by-step explanation:
Given : An initial population of 7 chipmunks increases by 6% each year.
To Find: which function could you use to find the population after 8 years?
Solution:
We are given that the function [tex]f(x) = ab^x[/tex] models this situation
Where a is the initial amount.
b = 1+r
r is the rate of change
x is number of years
Since we are given that initial population is 7
So, a = 7
We are also given that chipmunks increases by 6% each year.
So, r = 6%=0.06
So, b = 1+r = 1+0.06 = 1.06
Now we are supposed to find the function which can be used to find the population after 8 years
So, x =8
Substitute the values in the function:
[tex]f(x) = 7(1.06)^8[/tex]
Thus Option B is correct .
Hence the function which represents the population after 8 years is [tex]f(x) = 7(1.06)^8[/tex]
