Answer
$y=0.5\cdot4^x$
Work Step by Step
Let $y=ab^x$.
Then our equations are: $8=ab^2$ and $32=ab^3$.
If we divide the second equation by the first one we get: $4=b$. Then $8=a\cdot4^2=16a\\a=0.5$.
Thus $y=0.5\cdot4^x$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 7 Exponential and Logarithmic Functions - 7.7 Write and Apply Exponential and Power Functions - Guided Practice for Examples 1, 2, and 3 - Page 531: 2
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