Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.10 - Lines - 1.10 Exercises - Page 116: 92

Answer

(a) $n=(t-45)\times4.8$ (b) $76.25° F$

Work Step by Step

(a) For $10°$ increase in Fahrenheit the number of chirps increase by $48$, so $1°$ change corresponds to $4.8$ chirps. We will have $0$ chirps when: $70-\frac{120}{4.8}=70-25=45°$ We can write the equation: $n=(t-45)\times4.8$ We can also find it using slope: $m=\frac{n-n_0}{t-t_0}=\frac{n-120}{t-70}$ Solving this will give us the same equation. (b) if $n=150$ $150=(t-45)\times4.8$ $t-45=31.25$ $t=76.25°$
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