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?%0D%0APay per visitBuy a membership25711
To determine which option is best for each scenario, we can calculate the cost of each option based on the given information.
1) You have plans to attend 3 times this summer:
- Pay per visit option: 3 visits x $28 per visit = $84
- Membership option: $90 (monthly membership fee) + 3 visits x $15 per visit = $75
In this case, the membership option is cheaper.
2) You think you will visit approximately 8 times this summer:
- Pay per visit option: 8 visits x $28 per visit = $224
- Membership option: $90 (monthly membership fee) + 8 visits x $15 per visit = $210
In this case, the membership option is still cheaper.
3) You have budgeted $150 for visiting the park this summer:
- Pay per visit option: number of visits x $28 per visit = $150 (solve for the number of visits)
Dividing both sides of the equation by $28, we get: number of visits = $150 / $28 ≈ 5.36 visits.
Since you can't have a fraction of a visit, you would need to round up to the nearest whole number. Therefore, the pay per visit option would be the best choice in this case.
4) To find the breakeven point where both options would cost about the same:
- Pay per visit option: number of visits x $28 per visit = total cost
- Membership option: $90 (monthly membership fee) + number of visits x $15 per visit = total cost
Equating the two total costs, we can find the breakeven point:
number of visits x $28 = $90 + number of visits x $15
Rearranging the equation, we get:
number of visits x $28 - number of visits x $15 = $90
number of visits x ($28 - $15) = $90
number of visits x $13 = $90
number of visits ≈ $90 / $13 ≈ 6.92 visits.
Since you can't have a fraction of a visit, you would need to round up to the nearest whole number. Therefore, the breakeven point would be approximately 7 visits.
To determine which option is best, we need to compare the cost of each option based on the given scenarios.
1. Attending 3 times this summer:
Pay per visit: 3 visits * $28/visit = $84
Membership: $90 (monthly fee) + 3 visits * $15/visit = $135
The pay-per-visit option is cheaper in this scenario.
2. Attending 8 times this summer:
Pay per visit: 8 visits * $28/visit = $224
Membership: $90 (monthly fee) + 8 visits * $15/visit = $210
The membership option is cheaper in this scenario.
3. Budgeted $150 for visiting the park this summer:
Pay per visit: $150 / $28/visit ≈ 5.36 visits
Round up to 6 visits for the pay-per-visit option.
Pay per visit: 6 visits * $28/visit = $168
Membership: $90 (monthly fee) + 6 visits * $15/visit = $180
The pay-per-visit option is cheaper in this scenario.
4. Break-even point where both options cost about the same:
Let's call the break-even point x (number of visits).
Pay per visit: x * $28/visit = $90 (monthly fee) + x * $15/visit
Simplifying the equation:
$28x = $90 + $15x
$13x = $90
x ≈ 6.92 visits (rounded up to 7 visits)
At approximately 7 visits, both options would cost about the same.
Based on the analysis above:
- If you plan to attend 3 times this summer, the pay-per-visit option is best.
- If you plan to attend 8 times this summer, the membership option is best.
- If you have a budget of $150, the pay-per-visit option is best.
- The break-even point where both options cost about the same is approximately 7 visits.
To determine which option is best in each scenario, we can compare the total cost of each option.
1. If you plan to attend 3 times this summer:
- Pay per visit cost: 3 visits x $28 per visit = $<<3*28=84>>84
- Monthly membership cost: $90
- Total cost for pay per visit: $84
- Total cost for monthly membership: $90
- In this case, the pay per visit option is cheaper.
2. If you think you will visit approximately 8 times this summer:
- Pay per visit cost: 8 visits x $28 per visit = $<<8*28=224>>224
- Monthly membership cost: $90
- Additional pay per visit cost: 8 visits x $15 per visit = $<<8*15=120>>120
- Total cost for pay per visit: $224
- Total cost for monthly membership + additional visits: $90 + $120 = $<<90+120=210>>210
- In this case, the monthly membership option is cheaper.
3. If you have budgeted $150 for visiting the park this summer:
- Pay per visit cost: $150
- Monthly membership cost: $90
- Maximum number of pay per visit visits within budget: $150 / $28 per visit = <<150/28=5.36>>5.36 (rounded down to 5 visits)
- Additional pay per visit cost: (8 - 5) visits x $15 per visit = $<<(8-5)*15=45>>45
- Total cost for pay per visit: $150
- Total cost for monthly membership + additional visits: $90 + $45 = $<<90+45=135>>135
- In this case, the monthly membership option is cheaper.
4. To find the break-even point where both options cost about the same:
- Pay per visit cost: $28 per visit
- Monthly membership cost: $90
- Additional pay per visit cost: x visits x $15 per visit = $90
- Solving for x: $15x = $90, x = $90 / $15 per visit = 6 visits
- At approximately 6 visits, both options would cost about the same.
So, the best option depends on your specific circumstances:
- If you plan to attend the amusement park 3 times, the pay per visit option is best.
- If you think you will visit approximately 8 times or have a budget of $150, the monthly membership option is best.
- At approximately 6 visits, both options would cost about the same.
nun of this makes sence
I apologize if my response was unclear or confusing. Let me simplify the comparison for you:
1. If you plan to attend 3 times this summer:
- Pay per visit cost: 3 visits x $28 per visit = $84
- Monthly membership cost: $90 + 3 visits x $15 per visit = $135
- The pay per visit option is cheaper in this scenario.
2. If you think you will visit approximately 8 times this summer:
- Pay per visit cost: 8 visits x $28 per visit = $224
- Monthly membership cost: $90 + 8 visits x $15 per visit = $210
- The membership option is cheaper in this scenario.
3. If you have budgeted $150 for visiting the park this summer:
- Pay per visit option: $150 / $28 per visit ≈ 5.36 visits (rounded up to 6 visits)
- Pay per visit cost: 6 visits x $28 per visit = $168
- Monthly membership cost: $90 + 6 visits x $15 per visit = $180
- The pay per visit option is cheaper in this scenario.
4. The break-even point where both options would cost about the same is approximately 7 visits.
I hope this clarifies the comparison for you. Let me know if you have any further questions.