Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?
The first thing we must do for this case is to define a variable We have then: x: number of sessions. We write now the inequality that represents the problem. We have then: [tex](3/4) x + 3 \geq 12
[/tex] From here, we clear the value of x: [tex](3/4) x \geq 12 - 3
(3/4) x \geq 9
x \geq (4/3) * 9
x \geq 12[/tex] Answer: Allison needs at least 12 more sessions to reach the goal
