Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 1 - Introduction, Measurement, Estimating - Problems - Page 18: 30

Answer

$1.4 \times 10^{11}$ US gallons

Work Step by Step

There are about 210 million licensed drivers in the United States. On average, each driver drives around 16,000 miles annually, and the average vehicle has a mile per gallon rating of 24. This means that $3.36 \times 10^{12}$ miles are driven each year by Americans. Therefore, the total amount of gallons consumed annually is represented by $x$ in the proportion $\frac{3.36 \times 10^{12} miles}{x}$ $=$ $\frac{24 miles}{1 gallon}$. Next, you must solve for $x$. $\frac{3.36 \times 10^{12} miles}{x}$ $=$ ${24 mpg}$. ${3.36 \times 10^{12} miles}$ $=$ ${24 mpg} \times {x}$ $\frac{{3.36 \times 10^{12} miles}}{25 mpg}$ $=$ ${x}$ $x = 1.4 \times 10^{11}$ US gallons
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