# Student's Solutions Manual for College Algebra: Graphs and by Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen,

By Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

This guide comprises thoroughly worked-out suggestions for the entire odd-numbered workouts within the textual content.

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48 Copyright © 2013 Pearson Education, Inc. 36 Chapter 1: Graphs, Functions, and Models 95. Graph −2x − 5y = 10. b) Substitute 40 for V (x) and solve for x. Make a table of values, plot the points in the table, and draw the graph. 4652x 63 ≈ x It will take approximately $40 to equal the value of $1 in 1913 about 63 yr after 1985, or in 2048. x y (x, y) −5 0 (−5, 0) 89. 25) = 500 + 145 97. We ﬁnd the inputs for which 2x + 5 is nonnegative. = 645 m above sea level 2x + 5 ≥ 0 b) E(100) = 1000(100 − 100) + 580(100 − 100)2 2x ≥ −5 5 x≥− 2 = 1000 · 0 + 580(0)2 = 0 + 0 = 0 m above sea level, or at sea level 91.

Let w = the number of pounds of Lily’s body weight that is water. 7x = 182 x = 26 If x = 26, then 5x = 5 · 26, or 130, and x − 2 = 26 − 2, or 24. Check. The measure of angle B, 130◦ , is ﬁve times the measure of angle A, 26◦ . The measure of angle C, 24◦ , is 2◦ less than the measure of angle A, 26◦ . The sum of the angle measures is 26◦ + 130◦ + 24◦ , or 180◦ . The answer checks. Translate. 55% of body weight is water. 55 × ↓ 135 ↓ = ↓ w Carry out. We solve the equation. 25 = w Copyright © 2013 Pearson Education, Inc.

Copyright © 2013 Pearson Education, Inc. 44 Chapter 1: Graphs, Functions, and Models In 2005, x = 2005 − 1991 = 14. 27 billion In 2015, x = 2015 − 1991 = 24. 97 billion 67. 5272727, where x is the number of years after 2001 and y is in millions. b) In 2013, x = 2013 − 2001 = 12. 5272727 ≈ 2486 million This is 87 million less than the value found in Exercise 61. 9890; the line ﬁts the data fairly well. 69. 41428571, where x is the number of years after 1991 and y is in billions of dollars. b) In 2015, x = 2015 − 1991 = 24.