Question

Maggie needs to spend at least 6 hours each week practicing the piano. She has already practiced hours this week. She wants to split the remaining practice time evenly between the last 2 days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the 2 days.

Answer 1

Maggie needs to split her remaining piano practice time over 2 days to meet her total of at least 6 hours a week. The inequality (6 - x) / 2 ≥ t represents the minimum hours t she must practice each day, where x is the hours already practiced.

Step-by-step explanation:

Maggie needs to spend at least 6 hours each week practicing the piano, and she wants to split the remaining practice time evenly between the last 2 days of the week. Let's assume Maggie has practiced x hours already this week. The inequality to determine the minimum number of hours Maggie needs to practice on each of the 2 days would be (6 - x) / 2 ≥ t, where t is the number of hours Maggie needs to practice on each of the remaining two days.

Here's a step-by-step explanation:

1. Maggie needs to practice at least 6 hours in total.
2. She has already practiced x hours.
3. The total hours left to practice is 6 - x.
4. Divide the remaining hours by 2 because she will practice the same amount on each day: (6 - x) / 2.
5. The result is the minimum number of hours t that Maggie has to practice each day to meet her goal.