After how many trips to the gym will the cost be the same

Question

You you play basketball at your school's Indoor Stadium you have to pay with options option A is to buy a membership card for $20 and pay two each time you go to the gym T option b is to pay $4 each time you go

Answer 1

Let "t" be the number of trips you make to the gym.

Option A costs 20 + 2t.

Option B costs 4t

If you want the cost of Option A to equal the cost of Option B the 20 + 2t must equal 4t:

20 + 2t = 4t:[subtract 2t from both sides to get:

20 = 2t [divide both sides by 2 to get:

10 = t

So, after 10 trips, the cost is the same ($40)