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19 September, 10:48

At the beginning of a population study, a city had 370,000 people. Each year since, the population has grown by 8.2%. Let t be the number of years since start of study. Let y be city's population. Write an exponential function showing the relationship between y and t

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  1. 19 September, 12:35
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    Answer: y = 370000 (1.082) ^t

    Step-by-step explanation:

    We would apply the formula for exponential growth which is expressed as

    A = P (1 + r) ^t

    Where

    A represents the population after t years.

    t represents the number of years.

    P represents the initial population.

    r represents rate of growth.

    From the information given,

    A = y

    P = 370000

    r = 8.2% = 8.2/100 = 0.082

    Therefore, the exponential function showing the relationship between y and t is

    y = 370000 (1 + 0.082) ^t

    y = 370000 (1.082) ^t
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