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16 February, 16:26

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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  1. 16 February, 17:10
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    Answer: there would be 9 chipmunks after 5 years.

    Step-by-step 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
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