Question

Lorraine practices piano for 1 hour every week and dances for h hours 3 times every week. Evaluate 3h + 1 for h=2,5, and 9 to see how many hours Lorraine could spend practicing piano and dancing each week.

Answer 1

To calculate the total hours Lorraine spends practicing piano and dancing each week, we use the expression 3h + 1. For h=2, she spends 7 hours; for h=5, she spends 16 hours; and for h=9, she spends 28 hours.

Step-by-step explanation:

The subject of the question is mathematics. In this question, Lorraine practices the piano for 1 hour every week and dances for h hours 3 times every week. To find out how many hours Lorraine could spend practicing piano and dancing each week, we use the expression 3h + 1, where h represents the number of hours she spends dancing each time.

Let's evaluate the expression for h=2, h=5,, and h=9:

• For h=2: 3(2) + 1 = 6 + 1 = 7 hours per week
• For h=5: 3(5) + 1 = 15 + 1 = 16 hours per week
• For h=9: 3(9) + 1 = 27 + 1 = 28 hours per week

Therefore, Lorraine could spend 7 hours per week if she dances 2 hours each session, 16 hours per week if she dances 5 hours each session, and 28 hours per week if she dances 9 hours each session.