Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.5 Slope - 3.5 Exercise Set: 69

Answer

The grade of the road is around $5.135\%$, which is higher than the minimum requirement of $4\%$. Thus, it qualifies as a rated climb if it were part of the Tour de France.

Work Step by Step

Determine the climb and the horizontal distance: climb = $5400-3500=1,900$ feet horizontal distance = $37,000$ feet Solve for the grade by dividing the climb by the run (horizontal distance), and then convert the answer to percent: grade = $\dfrac{1900\text{ ft}}{37000 \text{ ft}}=\dfrac{19}{370}=0.05135135135 \approx 5.135\%$ The grade of the road is around $5.135\%$, which is higher than the minimum requirement of $4\%$. Thus, it qualifies as a rated climb if it were part of the Tour de France.
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