An initial population of 7 chipmunks increases by 6% each year. if the function f(x) = abx models this situation, which function could you use to find the population after 8 years? a) f(x) = 8(1.06)7 b) f(x) = 7(1.06)8 c) f(x) = 7(0.06)8 d) f(x) = 8(0.06)7

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 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:

Thus Option B is correct .

Hence the function which represents the population after 8 years is

first one because it can't have a fraction in it

step-by-step explanation:

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)