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?

Respuesta :

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