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39 votes
39 votes
A one-way ride on a subway costs $0.90.A monthly pass costs $24.Write an inequality that represents how many one-way rides you can buy before it is cheaper to buy the monthly pass.Is it cheaper to buy the monthly pass?Is it cheaper to pay the one-way fare for 25 rides? Explain.

User Ilya Kochetov
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2 Answers

17 votes
17 votes

Answer:

35$ : 1,25$ = 28 Trips

Explanation:

From 29 Trips you have a better deal.

User Tim Meyer
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2.6k points
23 votes
23 votes

Explanation:

To write the inequality, let x be the number of trips:

As we are finding how many rides until it is cheaper, we will be using the greater than sign:

0.90 * x > 24

To isolate x, we need to divide both sides by 0.9:


x > (24)/(0.9)

x > 26.66 or

x > 26
(2)/(3)

Rounding down as too little money will result in no trip:

x > 26

This means that it is cheaper to buy individual tickets until 26 rides which are when the monthly pass will be better.

Hope this helps!

User JuanBonnett
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3.2k points