Question

Cedar Point offers a yearly membership with an initial fee of $275 and then $5 each time they visit the park. Non-members pay $30 admission each day they visit the park. What is the inequality/equation to find the number of visits it would take for the total cost to be the same for a member and a non-member?

Options:
A)
275+5x=30x

B)

275+5x<30x

C)
275+5x>30x

D)
275=30x−5x

Answer 1

To determine when the costs for a member and a non-member are equal at Cedar Point, we use the equation 275 + 5x = 30x. This shows that the costs are the same when the initial fee plus the per visit fee for a member matches the per visit fee for a non-member.

Step-by-step explanation:

To find the number of visits it would take for the total cost to be the same for a member and a non-member at Cedar Point, we need to set up an equation where the total cost of membership equals the total cost for a non-member. The membership includes an initial fee plus a cost per visit, and the non-member pays a flat fee each visit.

The cost for a member is their initial fee plus $5 for each visit, which we can represent as 275 + 5x, where x is the number of visits. For a non-member, the cost is $30 per visit, or 30x. We want to find out when the costs are equal, so we set the member's cost equal to the non-member's cost:

275 + 5x = 30x.

This is the equation we need, and it corresponds to option A.