Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Review - Review Exercises - Page 107: 29c

Answer

The number of visits that day was about 140,000.

Work Step by Step

1.Let's try to substitute the number of crashes and solve for "x" in the first function: $c(x) = 0.03x + 2$ $8 = 0.03x + 2$ $8 - 2 = 0.03x$ $6 = 0.03x$ $\frac{6}{0.03} = \frac{0.03x}{0.03}$ $200 = x$ - But, that equation is only valid if $0 \leq x \leq 50$, and 200 is greater than 50. Therefore, we will have to use the second equation: $c(x) = 0.05x + 1$ $8= 0.05x + 1$ $8 - 1 =0.05x$ $7 = 0.05x$ $\frac{7}{0.05} = \frac{0.05x}{0.05}$ $140 = x$ $140$ is greater than 50, so, that value is valid, - Therefore, the number of visits that day was about 140,000.
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