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?
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.
To determine which option is best, let's analyze both scenarios:
Option 1: Pay per visit
Since the amusement park visit costs $28 per visit, and you have budgeted $150 for the entire summer, you can calculate the number of visits you can afford:
Number of visits = Budget / Cost per visit
Number of visits = $150 / $28
Number of visits ≈ 5.36 (rounded to the nearest whole number)
Since you can't have a fraction of a visit, you can afford a maximum of 5 visits for the summer.
Option 2: Monthly membership
The monthly membership costs $90, and each visit afterwards costs $15. Let's calculate the number of visits you can afford with this option:
Number of visits = (Budget - Cost of membership) / Cost per visit
Number of visits = ($150 - $90) / $15
Number of visits = $60 / $15
Number of visits = 4
With the monthly membership option, you can afford a maximum of 4 visits for the summer.
Comparing the two scenarios, you can see that the pay-per-visit option allows you to have 5 visits, while the monthly membership option only allows for 4 visits. Therefore, the pay-per-visit option is the better choice if you want to maximize the number of visits within your budget.
To determine which option is best, let's calculate the cost of each option based on your budget.
Option 1: Paying per visit
The cost per visit is $28, and you have budgeted $150 for the summer.
To find out how many visits you can afford, divide your budget by the cost per visit:
$150 / $28 = 5.36 (rounded to the nearest whole number of visits)
Since you can't visit the park a fraction of a time, you can afford a maximum of 5 visits with this option.
The total cost for 5 visits would be:
5 visits * $28 per visit = $140
Option 2: Purchasing a monthly membership and paying per visit
The monthly membership costs $90, and you pay an additional $15 for each visit.
To determine how many visits you can have with this option, subtract the cost of the membership from your budget and divide by the additional cost per visit:
($150 - $90) / $15 = $60 / $15 = 4 visits
With this option, you can visit the park a maximum of 4 times.
The total cost for 4 visits would be:
4 visits * $15 per visit = $60
Adding the cost of the membership: $60 + $90 = $150
Comparing the total costs, with option 1, you can afford 5 visits for a total cost of $140.
With option 2, you can have 4 visits for a total cost of $150.
Therefore, based on your budget, option 1 of paying per visit is the better choice, as it allows you to enjoy one additional visit to the amusement park while staying within your budget.