Algebra 1

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

Chapter 3 - Solving Inequalities - 3-3 Solving Inequalities Using Multiplication or Division - Practice and Problem-Solving Exercises: 31

Answer

You can send up to 66 text messages.

Work Step by Step

Let t be the number of text messages you can send. The cost of the text messages is \$0.15 each, or $0.15t$. If you can spend no more than \$10, the cost of the text messages must be less than or equal to \$10. $0.15t\leq10\longrightarrow$ divide each side by 0.15 $0.15t\div0.15\leq10\div0.15$ $t\leq66.\overline6$ Since it is not possible to send a fraction of a text message and rounding up would make the cost exceed \$10, $t\leq66$
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