College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.4 - Average Rate of Change of a Function - 2.4 Exercises - Page 226: 38

Answer

See the explanation

Work Step by Step

a. From the graph we can see that $B$ reached $500$ meter before $A$ did, thus $B$ won the race. b. For $A$, from $d=0$ to $d=200$ at $t=0$ to $t=10$, Average speed is $\dfrac{200-0}{10-0}=20\frac{m}{s}$. For $B$, from $d=0$ to $d=100$ at $t=0$ to $t=10$, Average speed is $\dfrac{100-0}{10-0}=10\frac{m}{s}$ c. For $A$, from $d=400$ to $d=500$ at $t=25$ to $t=40$, Average speed is $\dfrac{500-400}{40-25}\approx 6.67\frac{m}{s}$ For $B$, from $d=200$ to $d=500$ at $t=20$ to $t=35$, Average speed is $\dfrac{500-200}{35-20}=20\frac{m}{s}$
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