Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 9 - Measurement - 9.3 Measuring Weight and Temperature - Exercise Set 9.3: 51

Answer

(a) $m = \frac{9}{5}$ The slope shows that the change in Fahrenheit temperature is $\frac{9}{5}$ degrees for each degree change in Celsius temperature. (b) $F = \frac{9}{5}C+32$

Work Step by Step

To find the slope if the line $m$, we can use the point (0,32) and the point (20,68). $m = \frac{\Delta F}{\Delta C}$ $m = \frac{68-32}{20-0}$ $m = \frac{36}{20}$ $m = \frac{9}{5}$ The slope shows that the change in Fahrenheit temperature is $\frac{9}{5}$ degrees for each degree change in Celsius temperature. (b) When C = 0 then F = 32, so the y-intercept is 32. Note that F is on the y-axis and C is on the x-axis. $y = mx + b$ $F = \frac{9}{5}C+32$
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