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: 68

Answer

(a.) The scientific notation is $ \$ 1.284 \times 10^3 $. Decimal notation rounded to the nearest dollar is $ \$ 1,284 $. (b.) The average monthly per person benefit is $ \$ 107 $.

Work Step by Step

(a.) In the graph consider ninth and tenth column. The ninth column. The federal cost (billions of dollars) for food stamps is $ 33 $. In scientific notation $ 3.3 \times 10^{10} $. The tenth column. and The enrollment (millions of people) for food stamps is $ 25.7 $. In scientific notation $ 2.57 \times 10^{7} $. Average per person benefit $ = \frac{federal cost}{enrollment} $. $ = \frac{3.3 \times 10^{10}}{2.57 \times 10^{7}} $ $ =1284.05 $. Rounded to the nearest dollar is $ =\$ 1,284 $. The scientific notation is $ =\$ 1.284 \times 10^3 $. (b.) The average yearly per person benefit for food stamps is $ =1284.05 $. For monthly divide the yearly average by $ 12 $. $ = \frac{1284.05}{12} $ $ = 107.00 $. Rounded to the nearest dollar. $ = \$ 107 $.
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