Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.4 - The Slope of a Line - Exercise Set - Page 164: 106

Answer

The r ate of change of altitude between points F and G is $1.5$ yards per second.

Work Step by Step

First, get the coordinates of each point. $\\\\$Point F is 22 units to the right of the y-axis so $x=22$ and 2 units above the x-axis so $y=2$. Thus, the coordinates of F are $(22, 2)$. $\\\\$Point G is 26 units to the right of the y-axis so $x=26$ and 8 units above the x-axis so $y=8$. Thus, the coordinates of G are $(26, 8)$. $\\\\\\$Solve for the rate of change of altitude from point F to G by using the slope formula: $\\\\\text{rate of change in altitude} \\\\=\dfrac{8-2}{26-22} \\\\=\dfrac{6}{4} \\\\=1.5$
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