Question

A subway ride for a student costs $1.25. A monthly pass costs $35.

a. Write an inequality that represents the number of times you must ride the
subway for the monthly pass to be a better deal.
b. You ride the subway about 45 times per month. Should you buy the monthly
pass? Explain.

Answer 1

a. x(1.25) > $35

b. 45(1.25) = 56.25. Yes you should buy the monthly pass opposed to paying $1.25 each time you ride the subway.

Explanation:

a. x = (number of subway rides) 1.25 = (cost per subway ride)

> = the cost of paying individual subway rides surpasses the cost of the monthly pass therefore making it a better deal.

b. If you ride the subway 45 times, 45 x 1.25 = 56.25 which is $21.25 more than the $35 monthly subway pass, which makes the monthly pass more practical.

Answer 2

Answers:
A: 29 times
B: Yes

Explanations:
A: You do 35/1.25 and get 28, but thats not a better deal that's the same, so you go up one and make it 29.

B: Yes, 45(1.25) is 56.25 which is well over 35