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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?

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 visit
buy a membership
2
5
7
11

1 answer

To determine which option is best based on different visit frequencies and to calculate the break-even point, let's analyze each case:

  1. You have plans to attend 3 times this summer. Which option is best?

    • Pay per visit cost: $28 * 3 = $84
    • Membership cost: $90 + ($15 * 3) = $90 + $45 = $135

    Best Option: Pay per visit ($84 is cheaper than $135)

  2. You think you will visit probably about 8 times this summer. Which option is best?

    • Pay per visit cost: $28 * 8 = $224
    • Membership cost: $90 + ($15 * 8) = $90 + $120 = $210

    Best Option: Membership ($210 is cheaper than $224)

  3. You have budgeted $150 for visiting the park this summer. Which option is best?

    • Pay per visit cost: $28 * x (we need to find an integer x that fits)
    • Membership cost: $90 + ($15 * x)

    Setting up the equation for the budget:

    • $150 = $90 + ($15 * x)
    • $60 = $15 * x
    • x = 4 visits

    Checking costs:

    • Pay per visit for 4 visits: $28 * 4 = $112
    • Membership for 4 visits: $90 + ($15 * 4) = $90 + $60 = $150

    Best Option: Pay per visit ($112 is cheaper than $150).

  4. How many visits would be approximately the break-even point where both options would cost about the same?

    Set the costs equal:

    • Membership Cost: $90 + ($15 * x)
    • Pay per Visit Cost: $28 * x

    Setting up the equation:

    • $90 + ($15 * x) = $28 * x
    • 90 = (28 - 15) * x
    • 90 = 13 * x
    • x = 90 / 13
    • x ≈ 6.92

    Since we cannot have a fraction of a visit, we round up to 7 visits as our break-even point.

Final Summary of Answers:

  1. Plans to attend 3 times: Pay per visit
  2. Considering 8 visits: Membership
  3. Budgeted $150: Pay per visit
  4. Break-even point: 7 visits