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4 August, 04:58

At the beginning of a population study, a city had 390,000 people. Each year since, the population has grown by 7.3%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.

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  1. 4 August, 08:03
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    T=number of years since start of the study.

    y=city's population.

    first year:

    y=390,000+0.073 (390,000) = 390,000 (1+0.073) (=418470)

    Second year:

    y = (390,000 (1+0.073) + 0.073 (390,000 (1+0.073) =

    =390,000 (1+0.073) (1+0.073)

    =390,000 (1+0.073) ²

    (≈449,018.31)

    Third year: if you calculate it you would have:

    y=390,000 (1+0.073) ³

    Fourth year: if you compute it you would have:

    y=390,000 (1+0.073) ⁴

    t th year:

    y=390,000 (1+0.073) ^t

    Answer: y=390,000 (1+0.073) ^t
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