Question 269931
Rebecca is considering joining a fitness club. The clue offers two different membership plans. Plan A requires a monthly fee of $35 plus a per-visit charge of $2.50. Plan B requires a monthly fee of $55 plus a per-visit charge of $1.50. At what number of visits per month is it more economical for Rebecca to choose plan A than to choose plan B?

Let n be the number of monthly visits. 

The cost for Plan A is:

35 + 2.5*n

The cost for Plan B is:

55 + 1.5*n

We need to find n such that 

35 + 2.5*n <= 55 + 1.5*n

2.5*n - 1.5*n <= 55 - 35

n <= 20

When n <= 20 Plan A is less expensive.