Question

Monique aims to practice the piano for a minimum of 6 hours each week. Assuming she practices an average of 1.5 hours per day, formulate and solve an inequality to determine the number of days she needs to practice in order to achieve at least 6 hours of practice per week. Additionally, provide an interpretation of the solution in the context of Monique's piano practice routine.

Answer 1

Monique needs to practice for at least 4 days per week to achieve her goal of practicing for a minimum of 6 hours per week.

Step-by-step explanation:

To determine the number of days Monique needs to practice in order to achieve at least 6 hours of practice per week, we can formulate and solve the following inequality: 1.5x ≥ 6, where x represents the number of days she practices per week.

We can solve the inequality by dividing both sides by 1.5: x ≥ 4.

Therefore, Monique needs to practice for at least 4 days per week to achieve her goal of practicing for a minimum of 6 hours per week.