Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 2 - Solving Linear Inequalities - 2.1 - Writing and Graphing Inequalities - Exercises - Page 60: 51

Answer

$ n \leq 26$ Yes

Work Step by Step

Lets say we can take $n$ one way rides cheaper than the monthly pass. The cost for $n$ one way rides will be $0.90 \times n$. Equating this to be less than monthly pass which is $24$ we have $$0.9 n \leq 24.$$ Dividing both sides by $0.9$ we get $$n \leq 26.67.$$ Since the number of trips should be a whole number, we can round the equation as $$ n \leq 26.$$ Therefore, one can go on $26$ one way trips which would cost less than a $24$ dollar monthly pass. For a person who will regularly commute and require more than $26$ one way rides a month, a monthly pass would be the cheaper option. If one makes $25$ one way rides, it is cheaper to pay the one way fare.
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