Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - 4-2 Patterns and Linear Functions - Practice and Problem-Solving Exercises - Page 244: 12

Answer

The table represents a linear function as for every x value there is only one y value. The graph and the table is attached below. The Total Bill is $52.07 plus 1.29 times the quantity of the independent variable i.e. Number of soup cans. The equation is y=1.29x+52.07
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Work Step by Step

The equation of the relationship is y=1.29x+52.07 because when there is no independent variable, the value of the dependent variable is 52.07 and then as the independent variable which is number of soup cans increases by 1, the dependent variable which is the total bill increases by $1.29 and so the slope is 1.29 and the y-intercept is 52.07.
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