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?
You think you will visit probably about 8 times this summer. Which option is best?
The monthly membership and paying $15 per visit option would cost you $90 for the membership plus $15 multiplied by 8 visits which equals $120.
Therefore, the total cost would be $90 + $120 = $<<90+120=210>>210.
The one-time visit option would cost you $28 multiplied by 8 visits which equals $224.
Therefore, the monthly membership and paying $15 per visit option is the best option.
You have budgeted $150 for visiting the park this summer. Which option is best?
The monthly membership and paying $15 per visit option would cost you $90 for the membership plus $15 multiplied by the number of visits, which can be calculated as:
($150 - $90) / $15 = 4 visits
Therefore, the total cost would be $90 + $15 multiplied by 4 visits which equals $150.
The one-time visit option would cost you $28 multiplied by the number of visits, which can be calculated as:
$150 / $28 = 5.36 visits (approximately 5 visits)
Therefore, the one-time visit option is the best option within your budget.
How many visits would be approximately the break even point where both options would cost about the same?
Let's represent the number of visits as "x".
For the monthly membership and paying $15 per visit option, the cost would be $90 for the membership plus $15 multiplied by the number of visits, which can be expressed as:
Cost = 90 + 15x
For the one-time visit option, the cost would be $28 multiplied by the number of visits, which can be expressed as:
Cost = 28x
To find the break even point, we set the two costs equal to each other and solve for "x":
90 + 15x = 28x
90 = 13x
x = 90 / 13
x ≈ 6.92 (approximately 7 visits)
Therefore, approximately 7 visits would be the break even point where both options would cost about the same.