Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.2 - Inconsistent and Dependent Systems and Their Applications - Exercise Set - Page 905: 47


8 GB of data consumption is required for both plans to cost the same -- that is, $\$160$.

Work Step by Step

Let x be the number of GB of data per month that makes the charge the same. The cost of the 2 data plans is to be the same. Therefore, $20x=15x+40$ The above equation can be represented as below: $\begin{align} & 5x=40 \\ & x=8 \end{align}$ And, the value of each plan is given below: $\begin{align} & 20x=20\times 8 \\ & =160 \end{align}$ Or, $\begin{align} & 15\times x+40=15\times 8+40 \\ & =160 \end{align}$ Hence, the number of GB for which the cost of both plans is the same is 8 GB. The cost of each plan is $160.
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