Question
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.
You have budgeted $150 for visiting the park this summer. Which option is best?
You have the option to purchase a monthly membership for $90 and then pay $15 for each visit.
You have budgeted $150 for visiting the park this summer. Which option is best?
Answers
GPT 3.5
To determine which option is best, we need to compare the total cost for each option based on the number of visits within the given budget.
Option 1: Paying per visit
Since the cost is $28 per visit, we can divide the budgeted amount ($150) by the individual visit cost to find the maximum number of visits possible:
Max visits = $150 / $28 ≈ 5.36 visits
Since we can't have a decimal number of visits, we must round down to the nearest whole number. This means we can only afford 5 visits using this option.
Total cost for 5 visits = 5 visits × $28 per visit = $140
Option 2: Purchasing monthly membership and paying per visit
The cost of a monthly membership is $90, and each visit costs an additional $15. Let's calculate the total cost based on the number of visits that we can afford within the budget:
Number of visits within budget = ($150 - $90) / $15
Number of visits within budget = $60 / $15 = 4 visits
Since we can only afford 4 visits, the membership will cover all of them, and there will be no extra charge for additional visits.
Total cost for 4 visits = $90 + 4 visits × $15 per visit = $90 + $60 = $150
Comparing the total costs of both options, it is evident that Option 2 is more beneficial. With Option 2, we can have more visits (4 compared to 5 with Option 1) while staying within our budget. So, the best option is to purchase the monthly membership for $90 and pay $15 for each visit.
Option 1: Paying per visit
Since the cost is $28 per visit, we can divide the budgeted amount ($150) by the individual visit cost to find the maximum number of visits possible:
Max visits = $150 / $28 ≈ 5.36 visits
Since we can't have a decimal number of visits, we must round down to the nearest whole number. This means we can only afford 5 visits using this option.
Total cost for 5 visits = 5 visits × $28 per visit = $140
Option 2: Purchasing monthly membership and paying per visit
The cost of a monthly membership is $90, and each visit costs an additional $15. Let's calculate the total cost based on the number of visits that we can afford within the budget:
Number of visits within budget = ($150 - $90) / $15
Number of visits within budget = $60 / $15 = 4 visits
Since we can only afford 4 visits, the membership will cover all of them, and there will be no extra charge for additional visits.
Total cost for 4 visits = $90 + 4 visits × $15 per visit = $90 + $60 = $150
Comparing the total costs of both options, it is evident that Option 2 is more beneficial. With Option 2, we can have more visits (4 compared to 5 with Option 1) while staying within our budget. So, the best option is to purchase the monthly membership for $90 and pay $15 for each visit.