Algebra 2 (1st Edition)

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

Chapter 6 Rational Exponents and Radical Functions - 6.1 Evaluate nth Roots and Use Rational Exponents - 6.1 Exercises - Problem Solving - Page 418: 62

Answer

Butter: $102.7\%$ Chicken: $102.3\%$ Eggs: $101.8\%$ Sugar: $104.0\%$

Work Step by Step

We will calculate the rate of inflation for each of the four items in the given table with $n=1990-1950=40$: $$\begin{align*} r_{butter}=\left(\dfrac{2.195}{0.7420}\right)^{1/40}-1\approx 1.02748\approx 102.7\%\\ r_{chicken}=\left(\dfrac{1.087}{0.4430}\right)^{1/40}-1\approx 1.02269\approx 102.3\%\\ r_{eggs}=\left(\dfrac{1.356}{0.6710}\right)^{1/40}-1\approx 1.017744\approx 101.8\%\\ r_{sugar}=\left(\dfrac{0.4560}{0.0936}\right)^{1/40}-1\approx 1.04038\approx 104.0\%. \end{align*}$$
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