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30 September, 12:37

Determine whether the function represents exponential growth, exponential decay, or neither. Explain. y = 161 (0.725) t

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  1. 30 September, 12:46
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    If it looks like this

    y = 161 * (0.725) ^t then it's a decay. Reason: the base is under 1. Try a couple of values for t say 0,1,2

    y = 161 * (0.725) ^0

    y = 161

    y = 161 * (0.725) ^1

    y = 161 * 0.725

    y = 116.7

    y = 161 * (0.725) ^2

    y = 161 * (0.5256

    y = 84.63

    You can see that the function is steadily getting smaller. Remember if the base is under 1 and more than 0 the function decays. If it is greater than 1 then the function grows.

    Just to make sure we understand what I'm saying

    0 < base < 1

    y = a (base) ^power.
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