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)
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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?
Ansewr opshons
Pay per visit
Buy a mebership
2
5
7
11
To determine which option is best in each scenario, we can compare the total cost of each option.
1) If you have plans to attend 3 times this summer:
- Pay per visit: 3 visits x $28 per visit = $84
- Membership option: $90 for the membership + 3 visits x $15 per visit = $135
In this case, the pay per visit option is cheaper.
2) If you think you will visit about 8 times this summer:
- Pay per visit: 8 visits x $28 per visit = $224
- Membership option: $90 for the membership + 8 visits x $15 per visit = $210
In this case, the membership option is cheaper.
3) If you have budgeted $150 for visiting the park this summer:
- Pay per visit: $150 / $28 per visit = approximately 5.36 visits
- Membership option: $90 for the membership + 5 visits x $15 per visit = $165
In this case, the pay per visit option is cheaper.
4) To find the approximate break-even point where both options cost about the same, we can set up the following equation:
$90 + $15x = $28x
Where x represents the number of visits.
Simplifying the equation:
$90 = $13x
x = 6.92 (approximately)
So, the break-even point would be approximately 7 visits.
Therefore:
- If you plan to visit 3 times, the pay per visit option is best.
- If you plan to visit 8 times, the membership option is best.
- If you have a budget of $150, the pay per visit option is best.
- The approximate break-even point is around 7 visits.
You have plans to attend 3 times this summer. Which option is best?
- Pay per visit
You think you will visit probably about 8 times this summer. Which option is best?
- Buy A Membership
You have budgeted $150 for visiting the park this summer. Which option is best?
- Buy A Membership
How many visits would be approximately the break even point where both options would cost about the same?
- 11 visits
To determine which option is best in each scenario, we'll calculate the total cost for both options and compare them.
1) First, let's calculate the total cost for attending 3 times using each option:
- Pay per visit: 3 visits x $28/visit = $84
- Membership: $90 + 3 visits x $15/visit = $135
Based on these calculations, the "Pay per visit" option is more cost-effective when attending 3 times.
2) Next, let's calculate the total cost for attending 8 times using each option:
- Pay per visit: 8 visits x $28/visit = $224
- Membership: $90 + 8 visits x $15/visit = $210
In this case, the "Membership" option is more cost-effective when attending 8 times.
3) Now, let's calculate the total cost for a budget of $150:
- Pay per visit: $150 ÷ $28/visit = 5.36 visits (rounded up to 6 visits)
- Membership: $90 + 6 visits x $15/visit = $180
With a budget of $150, the "Pay per visit" option would be more suitable.
4) Finally, let's determine the break-even point, where the costs for both options are approximately the same. We'll set up the equation:
Membership cost = Pay per visit cost
$90 + x visits x $15/visit = x visits x $28/visit
Simplifying the equation, we get:
$90 = x visits x ($28/visit - $15/visit)
$90 = x visits x $13/visit
$90 ÷ $13 = x visits
x ≈ 6.92
Therefore, the break-even point, where both options would cost about the same, is approximately 7 visits.
To summarize:
- If you plan to attend 3 times, the "Pay per visit" option is best.
- If you think you will visit around 8 times, the "Membership" option is best.
- If you have a budget of $150, the "Pay per visit" option is best.
- At approximately 7 visits, both options would cost about the same.