Question

A doctors office schedules 15-minute appointments and half hour appointments for week days. The doctor limits these appointments to, at most, 30 hours per week. Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week

Answer 1

The correct answer to this question is 15x + 30y <= 1800.

multipliy 30*60 (as it is 60min in an hour). Convert 15min and 30min into hours, leaving 30 as is.

(1/4)x + (1/2)y ≤ 30
By multiplying every term with 60( to convert from hours to minutes) we get
15x+30y≤1800