Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 465: 127

Answer

See explanations.

Work Step by Step

Step 1. The percentage of adult height is given by the model: $f(x)=62+35\ log(x-4)$ For a girl at age 10, we have $x=10$, and the percentage of adult height is $f(10)=62+35\ log(10-4)\approx 89\% $. Step 2. Predict her adult height: assume her adult height is $y$. Since she is 4 feet 6 inches, or $54\ in$ at age 10, we have $f(10)=\frac{54}{y}=0.89$, which gives $y\approx61\ in$ or, 5 feet 1 inch.
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