11 lath 130A 4. (6 points) When you moved into your dorm room, there were initially 60 termites. After 7 days, there were

Question

11
lath 130A
4. (6 points) When you moved into your dorm room, there were initially 60 termites. After 7 days, there
were 225 termites. To predict the future population of your termite infestation, create an exponential
growth model of the form y=Ca’ where a represents days.

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Thanh Hà 4 years 2021-09-05T10:43:40+00:00 1 Answers 10 views 0

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  1. Cherry
    0
    2021-09-05T10:44:58+00:00
    Reply

    Answer:

    Given the initial population of termites = 60

    After 7 days the population of termites = 225

    Step-by-step explanation:

    We have given the initial termites and the population of termites after 7 days. Now we are required to find the exponential growth model that will help to predict the future population of termites.  

    We have, Y = Ca^x

    When the value of x is zero then population (Y) is 60 termites.

    Y = Ca^x

    60 = Ca^x

    Now, Y = 60a^x

    At x = 7 days

    Y  = 225

    225 = 60 a^7

    a^7 = 225/60

    a = 1.2078

    Thus, final population will be, Y = 60(1.2078)^x

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