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10 October, 15:07

A population of 1200 rabbits increases by 2.5% each year. At the end of 5 years, there will be approximately 1,358 rabbits in the population. Which function can be used to determine the number of rabbits, y, in this population at the end of t years

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  1. 10 October, 15:26
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    Answer: y = 1200 (1.025) ^t

    Step-by-step explanation:

    Hi, to answer this question we have to apply an exponential growth function:

    A = P (1 + r) t

    Where:

    p = original population

    r = growing rate (decimal form)

    t = years

    A = population after t years

    Replacing with the values given:

    1200 = 1200 (1 + 2.5/100) ^5

    1200 = 1200 (1 + 0.025) ^5

    1200 = 1200 (1.025) ^5

    For the number of rabbits, y, at the end of t years

    y = 1200 (1.025) ^t

    Feel free to ask for more if needed or if you did not understand something.
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