Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 4 - Test - Page 188: 13d

Answer

minimum average temperature: $51^o\text{ F}$ in January maximum average temperature: $84^o\text{ F}$ in July

Work Step by Step

Locate the minimum and maximum points on the graph of $f(x)$ (refer to the graph below). The graph shows that the minimum average temperature occurs at $x=1, 13, \text{ and }25$ while the maximumaverage temperature occurs at $x=7\text{ and } 19$. However, since $x$ represents month, then it would only vary from $x=1$ to $x=12$. Thus, the minimum average temperature occurs at $x=1$ or in the month of January, which is $51^o\text{ F}$, while the maximum average temperature occurs at $x=7$ or in the month of July, which is at $84^o \text{ F}$..
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