Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Standardized Test Prep: 55

Answer

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 inclusive. $35\leq10.40+0.0059g\leq50\longrightarrow$ subtract 10.40 from each part $35-10.40\leq10.40+0.0059g-10.40\leq50-10.40\longrightarrow$ subtract $24.60\leq0.0059g\leq39.60\longrightarrow$ divide each part by 0.0059 $24.60\div0.0059\leq0.0059g\div0.0059\leq39.60\div0.0059\longrightarrow$ divide $4169.5\leq g\leq 6711.9$
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