Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 206: 55


Between 4170 and 6712 gallons

Work Step by Step

Let g be the number of gallons. The charge for up to 7500 gallons of water is 10.40+0.0059g. Write and solve an expression showing the water charge between 35 and 50 dollars, inclusive. 35≤10.40+0.0059g≤50⟶ subtract 10.40 from each part 35−10.40≤10.40+0.0059g−10.40≤50−10.40⟶ subtract 24.60≤0.0059g≤39.60⟶ divide each part by 0.0059 24.60÷0.0059≤0.0059g÷0.0059≤39.60÷0.0059⟶ divide 4169.5≤g≤6711.9
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