Answer :
To determine how long Brenda spent practicing the piano in terms of weeks and days, we follow these steps:
1. **Determine Total Days**: Since there are 24 hours in a day, we divide the total number of hours Brenda spent practicing by 24. Thus:
\( \text{Total Days} = \frac{\text{Total Hours}}{\text{Hours per Day}} \)
\( \text{Total Days} = \frac{312}{24} = 13 \) days
2. **Convert Days to Weeks**: There are 7 days in a week. So, to convert the total days into weeks, we divide the number of days by 7. Here we're looking for both the full weeks and the remaining days, so:
\( \text{Weeks} = \text{Total Days} \div \text{Days per Week} \)
\( \text{Weeks} = 13 \div 7 \) which gives us 1 full week.
3. **Calculate Remaining Days**: The full weeks are accounted for, but we need to determine if there are any leftover days that do not make up a full week. To find the remainder (i.e., days that don't make up another full week), we use the modulus operation:
\( \text{Remaining Days} = \text{Total Days} \mod \text{Days per Week} \)
\( \text{Remaining Days} = 13 \mod 7 \) which is equivalent to 6 days.
So, Brenda spent 1 week and 6 days practicing the piano. The correct answer would be:
F) 1 week and 6 days.
