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 1.7 - Scientific Notation - Exercise Set - Page 90: 67

Answer

(a.) The scientific notation is $ \$ 1.0813 \times 10^4 $. Decimal notation rounded to the nearest dollar is $ \$ 10,813 $. (b.) The average monthly per person benefit is $ = \$ 901 $.

Work Step by Step

(a.) In the graph consider third and fourth column. The third column. The federal cost (billions of dollars) for social security is $ 519 $. In scientific notation $ 5.19 \times 10^{11} $. The fourth column. and The enrollment (millions of people) for social security is $ 48 $. In scientific notation $ 4.8 \times 10^{7} $. Average per person benefit $ = \frac{federal \; cost}{enrollment} $. $ = \frac{5.19 \times 10^{11}}{4.8 \times 10^{7}} $ $ = \frac{5.19 \times 10^{11}}{4.8 \times 10^{7}} $ $ =10812.5 $. Rounded to the nearest dollar is $ =\$ 10,813 $. The scientific notation is $ =\$ 1.0813 \times 10^4 $. (b.) The average yearly per person benefit for social security is $ =10812.5 $. For monthly divide the yearly average by $ 12 $. $ = \frac{10812.5}{12} $ $ = 901.0417 $. Rounded to the nearest dollar. $ = \$ 901 $.
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