Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 2 Linear Equations and Functions - 2.6 Draw Scatter Plots and Best-Fitting Lines - 2.6 Exercises - Problem Solving - Page 119: 26

Answer

$y=-0.00186x+212.213$ $186.2^{\circ}\text{F}$

Work Step by Step

We use a graphing calculator to plot the points $(x,y)$ from the given data and the best-fitting line (see graph). The equation of the best-fitting line provided by the graphing calculator is: $$y=-0.00186x+212.213.\tag1$$ Use Eq. $(1)$ to calculate the boiling point $y$ when the elevation is $x=14,000$: $$y=-0.00186(14,000)+212.213\approx 186.2.$$ So the boiling point at an elevation of $14,000$ ft is approximately $186.2^{\circ}\text{F}$
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