Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.2 Analyze Arithmetic Sequences and Series - 12.2 Exercises - Problem Solving - Page 809: 68d


$\$ 3.10$ when the towel costs $\$ 0.10$

Work Step by Step

We need to set up a proportion in order to solve $x$. $\dfrac{1.4}{(2.5)^2\pi-(1)^2\pi}=\dfrac{x}{(3.5)^2 \pi-(1)^2\pi}$ or, $\dfrac{1.4}{5.25\pi}=\dfrac{x}{11.25\pi}$ or, $5.25\pi x=15.75\pi$ After solving , we get $x=\$ 3$ Thus, the total cost is $\$ 3.10$ when the towel costs $\$ 0.10$.
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