Question 1199791
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Option A: No monthly pass
Option B: Monthly pass


x = number of times the person rides the train
y = total cost after riding x times


The cost equation for option A is
y = 1.50x


The cost equation for option B is
y = 0.75x+16.50


Use substitution to solve for x.
1.50x = 0.75x+16.50
1.50x-0.75x = 16.50
0.75x = 16.50
x = 16.50/0.75
x = 22
The costs are the same when the person rides the train 22 times.


Check:
y = 1.50x = 1.50*22 = 33 dollars is the cost of option A
y = 0.75x+16.50 = 0.75*22+16.50 = 33 dollars is the cost of option B
Each option yields the same cost, which confirms the answer.



Answer: <font color=red size=4>22</font>
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