Algebra 1: Common Core (15th Edition)

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

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 306: 50

Answer

If she worked for 34 hours she will earn $280.50.

Work Step by Step

This is solved by first finding the constant of variation and ensuring that each ordered pair follows this rule. We start with the first pair and divide 99 by 12 to get 8.25. We then divide 140.25 by 17 to get 8.25. After testing each ordered pair we can be sure that there is direct variation, and the constant of variation is 8.25. To find the amount made from 34 hours, we multiply this value by 8.25 to get a value of 280.50.
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