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: 12


The relation is a linear function. For every increase in the number of soup cans, the amount of money increases by 1.29 dollars. Equation: y=1.29x+52.07

Work Step by Step

The relationship is a linear function because the graph increases by 1.29 dollars every time for every soup can. Equation: Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$ $\frac{(54.65-52.07)}{(2-0)}$ $\frac{2.58}{2}$ $\frac{1.29}{1}$ slope=1.29 y-int: y=1.29x+b (substitute any x & y value from the table) 55.94=1.29(3)+b 55.94=3.87+b -3.87 -3.87 52.07=b Equation: y=1.29x+52.07
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