1. At Smith's club the pay-per-visit fee is $5 per day. would Smith save money paying per visit? Assume that a month has 4.3 weeks. what percentage of his monthly $90 fee would he spend if he paid on a per-visit basis?
2. IF Smith goes to the gym three times per week, what portion of the year does he use the gym?
3. IF Smith went to the gym every day, how much he pay per day on the monthly payment plan? Assume 30 days in a month. If Smith went every day and paid $5 per day, how much he be spending per? how much more is to the $90 monthly rate rounded to the nearest percent?
1. To determine if Smith would save money by paying per visit, we can calculate the total cost for both the monthly fee and the per-visit fee.
Monthly fee = $90
Number of weeks in a month = 4.3
Per-visit fee = $5 per day
Number of days in a week = 7
Cost of paying per visit:
Number of visits per month (assuming one visit per day) = 30 days * 4.3 weeks = 129 visits
Total cost = $5 * 129 visits = $645
Percentage spent on per-visit basis:
Percentage spent = (Cost of per-visit fee / Monthly fee) * 100
Percentage spent = ($645 / $90) * 100
Percentage spent ≈ 716.67%
Therefore, if Smith paid on a per-visit basis, he would spend approximately 716.67% of his monthly $90 fee.
2. To calculate the portion of the year Smith uses the gym, we need to determine the number of weeks in a year and then divide it by the number of weeks he visits the gym.
Number of weeks in a year = 52
Number of visits per week = 3 (given)
Total visits per year = Number of weeks in a year * Number of visits per week
Total visits per year = 52 weeks * 3 visits/week = 156 visits
Portion of the year used = (Total visits per year / 365 days) * 100
Portion of the year used = (156 visits / 365 days) * 100
Portion of the year used ≈ 42.74%
Therefore, Smith uses approximately 42.74% of the year at the gym.
3. If Smith went to the gym every day, the payment per day on the monthly payment plan can be calculated.
Total days in a month = 30
Monthly fee = $90
Payment per day on the monthly payment plan = Monthly fee / Total days in a month
Payment per day = $90 / 30 days = $3
If Smith went every day and paid $5 per day, the additional amount he would be spending can be calculated.
Additional amount spent = $5 - $3 = $2
To calculate the additional amount as a percentage of the $90 monthly rate:
Additional amount as a percentage = (Additional amount spent / Monthly fee) * 100
Additional amount as a percentage = ($2 / $90) * 100
Additional amount as a percentage ≈ 2.22%
Therefore, Smith would be spending approximately 2.22% more than the $90 monthly rate if he went to the gym every day and paid $5 per day.