Final answer:
Michelle had to pay a total of $79.31 for skiing last winter, which includes a flat fee of $29.00 and $50.31 for 5 3/4 hours of skiing at a rate of $8.75 per hour.
Step-by-step explanation:
To calculate the total cost Michelle went skiing last winter, we need to consider both the flat fee charged by the ski lodge and the hourly rate. Michelle skied for 5 3/4 hours, and the ski lodge charges a flat fee of $29.00 plus $8.75 per hour. First, convert the mixed number 5 3/4 to an improper fraction, which is 23/4 hours. Next, multiply the hourly rate of $8.75 by the number of hours skied (23/4) to find the total hourly charge. Then, add the flat fee to the total hourly charge to get the total amount Michelle had to pay.
Here are the steps:
- Convert 5 3/4 to an improper fraction: 5 3/4 = (5 × 4 + 3) / 4 = 23/4 hours.
- Multiply the hourly rate by the total hours skied: $8.75 × 23/4 = $50.31 (after rounding to two decimal places).
- Add the flat fee to the total hourly charge: $29.00 + $50.31 = $79.31.
So, the total amount Michelle had to pay for skiing was $79.31.