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 - Quiz for Lessons 7.6-7.7 - Page 536: 10

Answer

$y=\frac{5}{6}\cdot6^x$

Work Step by Step

Let $y=ab^x$. Then our equations are: $5=ab^1$ and $30=ab^2$. If we divide the second equation by the first one, we get: $6=b$. Then $5=a\cdot6^1=6a\\a=\frac{5}{6}$. Thus $y=\frac{5}{6}\cdot6^x$
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