College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.9 - Modeling with Equations - P.9 Exercises: 31

Answer

8 hours overtime

Work Step by Step

We know that she earned \$7.50 for the first 35 hours and $1.5*7.50=11.25$ for the rest of the hours ($x-35$), where $x$ is the total amount of hours worked in the week. Her total earnings were \$352.5: $352.5=7.5*35+11.25*(x-35)$ We solve for the total hours worked, $x$: $x=(352.5-7.5*35)/11.25+35=43$ Thus she worked 43 hours total, or 43-35=8 hours overtime.
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