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 - Problem Solving - Page 535: 35c

Answer

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Work Step by Step

From part a, we have the scatter plot of $(x, \ln y)$. We can see that the data doesn't fall neatly onto a single line. Use the form: $\ln y-y_1=m(\ln x-x_1)$ Take two points: $(55,4);(20,2.485)$ Find the slope: $m=\frac{4-2.485}{55-20}\approx 0.043$ Obtain: $\ln y-4=0.043(\ln x-55)\\\ln y=0.043\ln x+1.635\\\ln y=\ln x^{0.043+1.635}\\y=e^{1.635}(e^{0.043})^x\\y=5.13(1.044)^x$
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