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 input to answer the question. Select a response, navigate to the desired input 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?You think you will visit probably about 8 times this summer. Which option is best?You have budgeted $150 for visiting the park this summer. Which option is best?How many visits would be approximately the break even point where both options would cost about the same?Pay per visitBuy a membership25711

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 input to answer the question. Select a response, navigate to the desired input 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?You think you will visit probably about 8 times this summer.  Which option is best?You have budgeted $150 for visiting the park this summer.  Which option is best?How many visits would be approximately the break even point where both options would cost about the same?Pay per visitBuy a membership25711

GPT-4o mini · Answer

To determine the best option for each scenario, we can calculate the total cost for both visiting the park per visit and purchasing a membership.

For 3 visits:
- Pay per visit: 3 visits × $28 = $84
- Membership: $90 + (3 visits × $15) = $90 + $45 = $135
Best Option: Pay per visit (Total: $84)
For 8 visits:
- Pay per visit: 8 visits × $28 = $224
- Membership: $90 + (8 visits × $15) = $90 + $120 = $210
Best Option: Membership (Total: $210)
Budgeted for $150:
- Pay per visit for maximum visits within budget: $150 ÷ $28 ≈ 5.36 visits → so 5 visits would be feasible.
  - Cost: 5 visits × $28 = $140.
- Membership: $90 + (4 visits × $15) = $90 + $60 = $150. (You can visit 4 times with the membership and stay within budget).
Best Option: Membership (Total: $150)
Break-even point: To find the number of visits where both options cost about the same, we can set up the equation:

$ 28x = 90 + 15x $

Where $ x $ is the number of visits.

Simplifying the equation yields:

$ 28x - 15x = 90 $

$ 13x = 90 $

$ x ≈ 6.92 $

The break-even point would be approximately 7 visits.

Summary:

3 visits: Pay per visit
8 visits: Membership
Budgeted $150: Membership
Break-even point: Approximately 7 visits