Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises - Page 34: 15

Answer

(a) The graph is on the figure below. (b) 1) the slope represents how many degrees Fahrenheit correspond to the change of temperature of one degree Celsius. 2) the intercept with $C$ axis says what is the temperature in Celsius when the temperature in Fahrenheit is $0$ 3) the intercept with $F$ axis says what is the temperature in Fahrenheit when the temperature in Celsius is $0$.
1510342623

Work Step by Step

To sketch the graph first find the intercepts with the axes and then draw the line through the intercepts: 1) With $C$ axis for $F=0$ we have $$0=\frac{9}{5}C+32\Rightarrow \frac{9}{5}C=-32\Rightarrow C=\frac{160}{9}=17.78.$$ 2) With $F$ axis for $C=0$ we have $$F=\frac{9}{5}\cdot0+32=32.$$ The graph is shown in the figure below.
Small 1510342623
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.