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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)

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User Simen S
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1 Answer

6 votes

Answer: there would be 9 chipmunks after 5 years.

Explanation:

An initial population of 7 chipmunks in Mary's yard increases by 6% each year. It means that the population is increasing in an exponential rate.

The function that models the situation is expressed as

f(x) = ab^x

Where

a represents the initial population of chipmunks

b represent the rate of growth

x represent the number of years

From the information given,

a = 7

b = 1 + 6% = 1 + 6/100 = 1.06

x = 5 years

After 5 years,

f(5) = 7 × 1.06^5

f(5) = 9

answered
User Syscall
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8.5k points
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