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20 May, 13:15

Without graphing, predict whether the function, y = 3 (0.2) x, shows exponential growth or decay. Justify your predictions.

A. decay; because 0.2 < 1

B. growth; because 0.2 < 1

C. decay; because 0.2 > 1

D. growth; because 0.2 > 1

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Answers (1)
  1. 20 May, 16:18
    0
    Hello,

    Answer A

    Let's choice x and x+1

    x
    ==>

    y1=3*0.2^x

    y2=3*0.2^ (x+1)

    y2/y1=3*0.2^ (x+1) / (3*0.2^x) = 0.2

    y2=0.2*y1<1*y1

    The function shows a decay.
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