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13 July, 16:52

A certain forest covers an area of 2000 square kilometers. Suppose that each year this area decreases by 6%. What is the function that best represents the area of the forest each year and how much area remains after 12 years?

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  1. 13 July, 17:17
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    Best possible function would be an exponential function

    f (x) = b*a^x

    Because each year it decreases with %

    Possible function would be

    f (x) = 2000*0.94^x

    f (x) is how big the forest would be after x amount of years

    (a = 0.94

    a = 1 + r

    r = - 6% = - 0.06)

    After 12 years it would look like

    f (12) = 2000*0.94^12 = 951.84 square km
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