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19 March, 03:27

A study is done on the population of a certain fish species in a lake. Suppose that the population size P (t) after t years is given by the following exponential function. P (t) = 280 (1.29) ^t

Find the initial population size?

does the function represent growth or decay?

By what percentage does the population change each year?

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  1. 19 March, 04:49
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    280 function represent growth. 29 %

    Step-by-step explanation:

    Equation to calculate population size after time, t

    P (t) = 280 (1.29) ^t

    To find initial population size we will take t = 0

    P (0) = 280 (1.29) ^0

    = 280 (1)

    = 280

    To find that function represent growth or decay

    P (1) = 280 (1.29) ^1

    = 280 (1.29)

    = 361.2

    Its means that after a year population increases. Hence, function represent growth.

    By what percentage does the population change each year?

    (361.2 - 280 / 280) * 100%

    = 29 %
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