Question

You are choosing between two health clubs Club A offers membership for a fee of $21 plus a monthly fee of $25. Club offers membership for a fee of $13 plus a monthly fee of $27. Allor how many months will the total cost of each health club be the same? What will be the total cost for each club? in months the total cost of each health club will be the same The total cost for each health club will be $ En your own each of the wees Type here to search O 5 6 2 P 0 с T R Y W Q E To к H L G D F S Caps Lock A A N. M < V. B N х C Shirt

Answer 1

We are given two facts:

1) the membership fee for Club A; and
2) the membership fee for Club B.

Let A = membership fee for Club A, B = membership fee for Club B, and x= month of membership.

A = 21 + 25x

B = 13 + 27x

We want to when the total cost at each health club is the same, or when A = B.

21 + 25x = 13 + 27x

21 - 13 = 27x - 25x

2x = 8

x = 4

We can use either equation for A or B to determine the total cost when x = 4. Let's use A first.

A = 21 + 25(4)

= 21 + 100

= 121

Now, let's confirm our answer by finding B.

B = 13 + 27(4)

= 13 + 108

= 121

Hope This Helps!