Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.5 - Problem Solving and Using Formulas - Exercise Set - Page 67: 32

Answer

The number of GB is $ 2 $

Work Step by Step

Let $ x $ represents number Of GB of data used. for Data plan A. Monthly fee is $ = \$ 40 + 15 \times $ number of GB used. In mathematical form. Monthly fee $ = \$ 40 + 15 \times x $. For data plan B. Monthly fee is $ = \$ 30 + 20 \times $ number of GB used. In mathematical form. Monthly fee $ = \$ 30 + 20 \times x $. To find the costs for the two data plans be the same, equate both monthly fees. $ 40 + 15 \times x = 30 + 20 \times x $ $ 40 -30 = 20 \times x - 15 \times x $ $ 10 = 5x $ $ \frac{10}{5} =x $ $ 2=x $.
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