An initial population of 7 chipmunks in Mary's yard increases by 6% each year. If the function f(x) = abx models this situation, what is the population of the chipmunks in 5 years? (to the nearest whole number)

A) 9 chipmunks
B) 11 chipmunks
C) 15 chipmunks
D) 20 chipmunks

Since, the exponential growth function is modeled by, [tex]f(x)=ab^x[/tex], where [tex]b=1+r[/tex], 'r' = rate of increase and 'x' is the number of years.

So, we have, on comparing,

[tex]a=7\\b=1+0.06=1.06[/tex]

Then, the function modeling the given situation is, [tex]f(x)=7(1.06)^x[/tex].

So, the population after 5 years is given by,

[tex]f(5)=7(1.06)^5[/tex]

i.e. [tex]f(5)=7\times 1.34[/tex]

i.e. f(5) ≈ 9.

Thus, there are 9 chipmunks after 5 years.

Hence, option A is correct.

An initial population of 7 chipmunks in Mary's yard increases by 6% each year. If the function f(x) = abx models this situation, what is the population of the chipmunks in 5 years? (to the nearest whole number) A) 9 chipmunks B) 11 chipmunks C) 15 chipmunks D) 20 chipmunks

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An initial population of 7 chipmunks in Mary's yard increases by 6% each year. If the function f(x) = abx models this situation, what is the population of the chipmunks in 5 years? (to the nearest whole number)

A) 9 chipmunks
B) 11 chipmunks
C) 15 chipmunks
D) 20 chipmunks