The local gym offers annual, semi-annual, or monthly membership options. Which membership option is the best buy for someone who plans to work out at least twice/week for the next year?

Annual - $150 for the full year
Semi-annual - $85 for 6 months
Monthly - $13 per month

1 answer

To determine the best buy, we need to calculate the total cost for each membership option based on working out at least twice a week for a year.

Annual membership:
The total cost for an annual membership is $150 for the full year.

Semi-annual membership:
To calculate the total cost for a semi-annual membership, we need to consider that it covers 6 months. Since there are 52 weeks in a year and we plan to work out at least twice a week, we will have 104 workouts in a year. Divide this by 2 to account for the number of semi-annual periods: 104 / 2 = 52. Since the semi-annual membership covers 6 months, this means we will need 52 / 6 = 8.67 semi-annual memberships to cover a year. Since we can't buy fractions of a membership, we round up to 9. Therefore, the total cost for a semi-annual membership for a year would be 9 * $85 = $765.

Monthly membership:
Similar to the semi-annual membership calculation, we need to account for 104 workouts in a year. Since a month has approximately 4.33 weeks, we will need 104 / 4.33 = 24.03 monthly memberships to cover a year. As we cannot buy fractions of a membership, we round up to 25. Therefore, the total cost for a monthly membership for a year would be 25 * $13 = $325.

In conclusion, based on the calculations, the best buy for someone planning to work out at least twice a week for the next year would be the annual membership option, which costs $150 for the full year.