Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-1 Using Graphs to Relate Two Quantities - Practice and Problem-Solving Exercises - Page 244: 13

Answer

The relation is a linear function. For every decrease in gallons of gas, the miles traveled increases by 17 miles. Equation: y=-$\frac{1}{17}$x+11.2
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Work Step by Step

The relationship is a linear function because the graph decreases by 1 gallon every time for every 17 miles traveled Equation: Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$ $\frac{(9.2-10.2)}{(34-17)}$ $\frac{-1}{17}$ slope=$\frac{-1}{17}$ y-int: y=$\frac{-1}{17}$x+b (substitute any x & y value from the table) 11.2=$\frac{-1}{17}$(0)+b 11.2=0+b 11.2=b Equation: y=$\frac{-1}{17}$x+11.2
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