Gary is a fitness trainer that makes 30 and 45-minute appointments with clients. Gary’s contract allows him to make up to 30 hours of appointments in a week. State the inequality that represents all the possible combinations of appointments that Gary can make in a week.

Answer 1

x = number of 30 minutes, 1 / 2 hour appointments

y = number of 45 minutes, 3 / 4 hour appointments

1 / 2 x + 3 / 4 y ≤ 30

You also can write this as:

x / 2 + 3 y / 4 ≤ 30