Algebra 2 (1st Edition)

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 - 7.7 Exercises - Skill Practice - Page 534: 19


$y=0.569\cdot x^{1.907}$

Work Step by Step

Let $y=ax^b$. Then our equations are: $8=a4^b$ and $30=a8^b$. If we divide the second equation by the first one, we get: $3.75=2^b\\b=\ln_{2}{3.75}\approx1.907$. Then $8=a4^{1.907}\\a=\frac{8}{4^{1.907}}\approx0.569$. Thus $y=0.569\cdot x^{1.907}$
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