SOLUTION: 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 require

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?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
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.

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