Question 118460
option 1 pay one price at the gate for limitless riding,for $125
option 2 pay $5 at the gate and then paying $0.75 for each ride you go on.
option 3 pay nothing at the gate and pay $1.25 for each ride. 

Write linear equations for each option that describe your cost (y) as a function of how many rides you gon on (x). If you knew ahead of time that you were going to experience 17 rides, which option would be cheapest? 
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Let "x" be number of rides.
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Option 1: cost = 125
Option 2: cost =  5 + 0.75x
Option 3: cost = 1.25x
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Cost for 17  rides:
Option 1: cost = 125
Option 2: cost = 5 + 0.75*17 = 17.75
Option 3: cost = 1.25*17 = 21.25
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Option 2 would be least expensive for 17 rides.
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Cheers,
Stan H.