Janae wants to practice her cello for at least 12 hours this week. On Sunday, she practiced for 2.5 hours. On Monday, she decides to practice the same number of hours each day for the rest of the week. Which inequality can be used to find h, the number of hours per day that Janae needs to practice?

Janae practiced for 2.5 hours on Sunday. Since she wants to practice the same number of hours each day for the rest of the week, we multiply the number of days (6) by h, the number of hours she practices each day. The total practice time for the remaining days is h * 6.

To ensure that the total practice time for the week is at least 12 hours, we set up the inequality: 2.5 + h * 6 ≥ 12.

The left side of the inequality represents the total practice time for Sunday (2.5 hours) plus the total practice time for the remaining 6 days (h * 6). The right side of the inequality represents the minimum desired practice time of 12 hours for the entire week.

Therefore, the inequality that can be used to find h, the number of hours per day that Janae needs to practice, is 2.5 + h * 6 ≥ 12.

airrowz airrowz · Answer 2 · 2024-04-14T02:18:49+02:00

Answer:

Since Janae practiced for 2.5 hours on Sunday and wants to practice for at least 12 hours in total for the week, let's denote the number of hours she practices each day for the rest of the week as \( h \).

So for Monday through Saturday, she practices for \( 6 \times h \) hours. Adding Sunday's practice, the total practice time for the week should be at least 12 hours:

2.5 + 6h ≥ 12

This inequality ensures that Janae practices at least 12 hours in total for the week.

Step-by-step explanation: