To determine which option is best in each scenario, let's compare the total cost of each option.
1. For 3 visits:
- Option 1: 3 visits x $28/visit = $84
- Option 2: $90 (membership fee) + 3 visits x $15/visit = $90 + $45 = $135
In this case, Option 1 is the better choice as it costs less.
2. For 8 visits:
- Option 1: 8 visits x $28/visit = $224
- Option 2: $90 (membership fee) + 8 visits x $15/visit = $90 + $120 = $210
In this case, Option 2 is the better choice as it costs less.
3. Budget of $150:
- Option 1: The maximum number of visits within the budget is $150 / $28/visit ≈ 5 visits.
- Option 2: The maximum number of visits within the budget is ($150 - $90) / $15/visit ≈ 4 visits.
In this case, Option 2 is the better choice as it allows for more visits within the given budget.
4. Break-even point:
To find the approximate break-even point, let's determine the number of visits for both options to have a similar cost.
- Option 1: $90 (membership fee) + x visits x $15/visit = $28x
Simplifying, we get x ≈ 5.45 visits.
- Option 2: x visits x $15/visit = $90 + $28x
Simplifying, we get x ≈ 5.45 visits.
Therefore, at approximately 5-6 visits, both options would cost about the same.
In summary, the recommended option depends on the specific scenario:
- For 3 visits: Option 1 is best.
- For 8 visits: Option 2 is best.
- With a budget of $150: Option 2 is best.
- Break-even point: Both options cost about the same at approximately 5-6 visits.
Bot help
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) 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