Question

A wholesale club offers two types of memberships. The Executive Membership is $93 per year, including an annual 10% reward. The Business Membership is $40 per year without a reward. The total cost for membership, (y), depends on the amount of money spent on merchandise, (x), and can be represented by the following equations: Executive Membership: (y = 93 - 0.1x) Business Membership:

(y = 40) According to the graph, how much money spent on merchandise would result in the same cost for each membership?

Answer 1

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.

Step-by-step 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.