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25 September, 09:13

The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.

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  1. 25 September, 09:32
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    A = 236,000 (1 + 0.04) ^9

    335,902 people in 2009

    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 (in 2000)

    r = growing rate (decimal form) = 4/100 = 0.04

    t = years

    A = population after t years

    Replacing with the values given:

    A = 236,000 (1 + 0.04) ^t

    To find the population in 2009:

    We have to calculate the number of years passed since 2000: (2009-2000 = 9 years = t)

    Substituting t=9 in the function:

    A = 236,000 (1 + 0.04) ^9

    A = 335,902 people

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