An amusement park that you are excited to try is $28 per visit. %0D%0A%0D%0AYou have the option to purchase a monthly membership for $90 and then pay $15 for each visit. %0D%0A%0D%0A(4 points)%0D%0APut 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.%0D%0AYou have plans to attend 3 times this summer. Which option is best?%0D%0AYou think you will visit probably about 8 times this summer. Which option is best?%0D%0AYou have budgeted $150 for visiting the park this summer. Which option is best?%0D%0AHow many visits would be approximately the break even point where both options would cost about the same?
To determine which option is best, we need to compare the total cost of each option based on the given scenarios.
1. For attending 3 times this summer:
Option 1 (Pay per visit): 3 visits x $28/visit = $84
Option 2 (Monthly membership + pay per visit): $90 (membership) + 3 visits x $15/visit = $75
In this case, Option 2 is the better choice as it costs less.
2. For visiting 8 times this summer:
Option 1: 8 visits x $28/visit = $224
Option 2: $90 (membership) + 8 visits x $15/visit = $210
In this case, Option 2 is again the better choice as it costs less.
3. With a budget of $150 for visiting the park this summer:
Option 1: $150 / $28/visit = 5.36 visits (rounded down to 5 visits)
Option 2: $90 (membership) + 5 visits x $15/visit = $165
Here, Option 1 is a better choice as it fits within your budget.
4. To find the break-even point where both options would cost about the same, we need to calculate the total cost for each option and set them equal to each other.
Option 1: $28/visit
Option 2: $90 (membership) + $15/visit
Let's assume the break-even point is x visits:
Total cost using Option 1: $28x
Total cost using Option 2: $90 + $15x
Setting these two equal to each other: $28x = $90 + $15x
Simplifying: $13x = $90
Solving for x: x = $90 / $13 ≈ 6.92 visits (rounded up to 7 visits)
So, the break-even point is approximately 7 visits, where both options would cost about the same.
Remember, these calculations are based on the given information. It's always a good idea to double-check the pricing and terms with the amusement park's official website or customer service before making a decision.
1. You have plans to attend 3 times this summer. Which option is best?
- Option 1: Paying $28 per visit:
Total cost for 3 visits: $28 x 3 = $84
- Option 2: Purchasing monthly membership and paying $15 per visit:
Cost of monthly membership: $90
Cost for 3 visits: $15 x 3 = $45
Total cost: $90 + $45 = $135
Based on the calculations, Option 1 is the best choice as it is cheaper ($84) compared to Option 2 ($135) for 3 visits.
2. You think you will visit probably about 8 times this summer. Which option is best?
- Option 1: Paying $28 per visit:
Total cost for 8 visits: $28 x 8 = $224
- Option 2: Purchasing monthly membership and paying $15 per visit:
Cost of monthly membership: $90
Cost for 8 visits: $15 x 8 = $120
Total cost: $90 + $120 = $210
Based on the calculations, Option 2 is the best choice as it is cheaper ($210) compared to Option 1 ($224) for 8 visits.
3. You have budgeted $150 for visiting the park this summer. Which option is best?
- Option 1: Paying $28 per visit:
Number of visits within budget: $150 / $28 = 5.36 (approx.)
Total cost for 5 visits: $28 x 5 = $140
- Option 2: Purchasing monthly membership and paying $15 per visit:
Cost of monthly membership: $90
Number of additional visits within budget: ($150 - $90) / $15 = 4 (approx.)
Total cost for 4 visits: $15 x 4 = $60
Total cost: $90 + $60 = $150
Based on the calculations, Option 2 is the best choice as it allows you to visit 4 times within your budget of $150.
4. How many visits would be approximately the break-even point where both options would cost about the same?
Let's assume the number of visits as 'x'.
- Option 1: Paying $28 per visit:
Cost for x visits: $28x
- Option 2: Purchasing monthly membership and paying $15 per visit:
Cost of monthly membership: $90
Cost for x visits: $15x
Total cost: $90 + $15x
To find the break-even point, we need to equate the total costs of both options:
$28x = $90 + $15x
Simplifying the equation:
$28x - $15x = $90
$13x = $90
x = $90 / $13
x ≈ 6.92
Approximately, the break-even point where both options would cost about the same is around 7 visits.
To determine which option is the best in each scenario, let's compare the total cost of each option based on the given information.
1. You have plans to attend 3 times this summer.
Option 1: Pay per visit
Total cost = 3 * $28 = $84
Option 2: Monthly membership + pay per visit
Total cost = $90 (membership) + 3 * $15 (visits) = $135
In this scenario, option 1 (pay per visit) is the best.
2. You think you will visit approximately 8 times this summer.
Option 1: Pay per visit
Total cost = 8 * $28 = $224
Option 2: Monthly membership + pay per visit
Total cost = $90 (membership) + 8 * $15 (visits) = $210
In this scenario, option 2 (monthly membership + pay per visit) is the best.
3. You have budgeted $150 for visiting the park this summer.
Option 1: Pay per visit
Number of visits = $150 / $28 ≈ 5.36 (rounded down to the nearest whole number)
Total cost = 5 * $28 = $140
Option 2: Monthly membership + pay per visit
Number of visits = ($150 - $90) / $15 = 4
Total cost = $90 (membership) + 4 * $15 (visits) = $150
In this scenario, both options cost about the same. So either option would be suitable.
4. The break-even point where both options would cost about the same.
Let's assume the number of visits required to reach the break-even point is "x".
Option 1: Pay per visit
Total cost = x * $28
Option 2: Monthly membership + pay per visit
Total cost = $90 (membership) + x * $15
Setting the total costs equal to each other:
x * $28 = $90 + x * $15
Simplifying the equation:
$x = \frac{$90}{($28 - $15)}$
Approximately, the break-even point is 6 visits.