Question

An amusement park that you are excited to try is $28 per visit.

You have the option to purchase a monthly membership for $90 and then pay $15 for each visit.

(4 points)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
You have plans to attend 3 times this summer. Which option is best?
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You think you will visit probably about 8 times this summer. Which option is best?
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You have budgeted $150 for visiting the park this summer. Which option is best?
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How many visits would be approximately the break even point where both options would cost about the same?

Answer 1

You plan 3 visits: Pay-per-visit is best (3×$28 = $84 vs $90 + 3×$15 = $135).

You think you'll visit about 8 times: Membership is best ($90 + 8×$15 = $210 vs 8×$28 = $224).

You have budgeted $150: Pay-per-visit is best (with $150 you can pay for 5 visits at $28 = $140; membership + visits gives at most 4 visits: $90 + 4×$15 = $150).

Break-even point: 28v = 90 + 15v → v = 90/13 ≈ 6.92, so about 7 visits. (6 or fewer → pay-per-visit; 7 or more → membership.)