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24 June, 02:33

The function f (t) = 15,000 (0.86) t models the value in dollars of a used car t years after it is purchased. Is the function an exponential growth function or an exponential decay function?

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  1. 24 June, 04:05
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    An exponential function is given by;

    f (x) = ba^x

    where a is any value greater than 0,

    b is the intial value

    when a>1 then f (x) is defined as an exponential growth

    when a<1 then f (x) is defined as an exponential decay

    From the our function;

    f (t) = 15000 (0.86) ^t

    a=0.86<1

    b=15000

    since a<1, the function will be an exponential decay.
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