Answer:
After 3 months the total cost of each health club will be the same, and the total cost for each one will be US$ 55
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Club A = Membership fee of $ 16 + Monthly fee of $13
Club B = Membership fee of $ 22 + Monthly fee of $11
2. After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?
For answering the question, we will use the variable x to be the number of months of membership of the two clubs, this way:
Club A = Club B
16 + 13x = 22 + 11x
13x - 11x = 22 - 16
2x = 6
x = 6/2 = 3
Substituting and proving x = 3:
16 + 13x = 22 + 11x
16 + 13 * 3 = 22 + 11 * 3
16 + 39 = 22 + 33
55 = 55
After 3 months the total cost of each health club will be the same, and the total cost for each one will be US$ 55
