A Wholesale Club Membership Cost Equation

Question:

According to the data, how much money spent on merchandise would result in the same cost for each membership?

Final answer:

The cost for both an Executive Membership and a Business Membership at a wholesale club is the same when a customer spends $530 on merchandise.

Answer:

The cost for both an Executive Membership and a Business Membership at a wholesale club is the same when a customer spends $530 on merchandise. This is calculated by equating the yearly cost formulas for each membership and solving for the amount of merchandise spending that makes both costs equal.

Explanation:

The question is asking how much money spent on merchandise would make the yearly cost of an Executive Membership equal to that of a Business Membership at a wholesale club. To find that, we need to equate both membership equations provided:

For Executive Membership: y = 93 - 0.1x

For Business Membership: y = 40

To determine the amount x where both memberships would cost the same, we set the two equations equal to one another:

93 - 0.1x = 40

Then, subtract 40 from both sides:

53 = 0.1x

Finally, divide both sides by 0.1 to solve for x:

x = 530

Therefore, the yearly cost for both memberships would be the same if a customer spends $530 on merchandise.