Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.7 - Linear Inequalities in One Variable - 1.7 Exercises - Page 138: 92

Answer

More than $3$ units.

Work Step by Step

Let $x$ be the number of units to produce per hour and $y$ be the total pay per hour. The system of equations of the situation is: $$\begin{cases}y=13.75\\y=1.25x+10\end{cases}$$ To break-even, equate the two equations: $$13.75=1.25x+10$$ $$3.75=1.25x$$ $$x=\frac{3.75}{1.25}=3$$ Thus, the number of units to produce per hour for the second job to pay more than the first job is more than $3$ units.
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