Precalculus (6th Edition) Blitzer

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

Chapter 1 - Section 1.5 - More on Slope - Exercise Set - Page 227: 47

Answer

The price of the television before the reduction is $\$1400$.

Work Step by Step

Consider the price of the television before the reduction to be x and the reduced price to be r. We now that the purchase price is $\$980$ after a $30\%$ price reduction. The reduction in price is: $\begin{align} & r=\frac{30}{100}\left( x \right) \\ & r=0.3x\\\end{align}$ So, $\begin{align} & x-0.3x=980 \\ & 0.7x=980 \\ & x=\frac{980}{0.70} \\ & x=1400 \end{align}$ Thus, the price of the television before the reduction is $\$1400$.
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