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?

1 answer

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

Option 1:
Cost of 3 visits = 3 * $28 = $84

Option 2:
Cost of monthly membership = $90
Cost per visit = $15
Total cost for 3 visits = $90 + 3 * $15 = $135

Option 1 is best.

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

Option 1:
Cost of 8 visits = 8 * $28 = $224

Option 2:
Cost of monthly membership = $90
Cost per visit = $15
Total cost for 8 visits = $90 + 8 * $15 = $210

Option 2 is best.

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

Option 1:
Cost of visits covered by budget = $150 / $28 = 5.36 (approx.)
Since you cannot visit a fraction of a time, you can consider 5 visits.

Cost of 5 visits = 5 * $28 = $140

Option 2:
Cost of monthly membership = $90
Cost per visit = $15
Total cost for 5 visits = $90 + 5 * $15 = $165

Option 1 is best.

How many visits would be approximately the breakeven point where both options would cost about the same?

Let's assume the number of visits to find the breakeven point is 'x'.

Option 1:
Cost of x visits = x * $28

Option 2:
Cost of monthly membership = $90
Cost per visit = $15
Total cost for x visits = $90 + x * $15

Setting the costs equal to each other:
x * $28 = $90 + x * $15
Simplifying the equation:
$28x = $90 + $15x
$13x = $90
x = 6.92 (approx.)

Approximately 7 visits would be the breakeven point where both options would cost about the same.