Question

You are choosing between two health clubs. Club A offers membership for a fee of $12 plus a monthly fee of $21. Club B offers membership for a fee of $16 plus a monthly fee of $20. After how many months

will the total cost of each health club be the same? What will be the total cost for each club?
Inmonths the total cost of each health club will be the same.

in _ months the total cost of each health club will be the same.

Answer 1

in 5 months because i have calculated it and that is what it gives me good luck

Answer 2

You'd have to write equations for the price per month for each club.

Let x equal the number of months of membership, and y equal the total cost.

Club A's is y = 21x + 12 and Club B's is y = 20x + 16

Because we know that the prices, y, would be equal, we can set the two equations equal to each other.

21x + 12 = 20x + 16

Subtract 12 from both sides

21x = 20x + 4

Subtract 20x from both sides

x = 4

After four months, the total cost would be the same.

Now for the total cost just place in 4 for X

Club A - y = 21x + 12

y = 21(4) + 12

y = 84 + 12

y = 96

Club B - y = 20x + 16

y = 20(4)+ 16

y = 80 + 16

y = 96