Precalculus (6th Edition) Blitzer

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

Chapter P - Section P.7 - Equations - Exercise Set - Page 107: 138

Answer

a. $41\%$, underestimates $2\%$ b. year $2030$

Work Step by Step

a. Given the formula $p=\frac{4x}{5}+25$ and year 2000 means $x=2000-1980=00$, we have $p=\frac{4(20)}{5}+25=41(\%)$. The bar graph gives a value of $43\%$; thus the model underestimates the data by $2\%$ b. Let $p=65(\%)$; we have $\frac{4x}{5}+25=65$ or $\frac{4x}{5}=40$ which gives $x=50$ and it is corresponds to year $1980+50=2030$
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