Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Quiz (Sections 4.1-4.2) - Page 164: 11



Work Step by Step

To find the average temperature in April, we need to substitute $x=4$ in the equation and solve: $f(x)=12\sin[\frac{\pi}{6}(x-3.9)]+72$ $f(x)=12\sin[\frac{\pi}{6}(4-3.9)]+72$ $f(x)=12\sin[\frac{\pi}{6}(0.1)]+72$ $f(x)=12\sin[\frac{0.1\pi}{6}]+72$ $f(x)=0.628+72$ $f(x)=72.628\approx73$ Therefore, the average temperature in April is $73^{\circ}F$.
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