Felicia has been tracking her community service hours for graduation. For her school, the minimum amount of service time to graduate is 50 hours; she currently has 38 hours

Question

Write an inequality to express the amount of service time Felicia accrues up until she reaches her 50 hours.

Answer 1

Let h be the number of hours a day she does community service.

She has to make up 50-38=12 hours to get to 50 hours from 38 hours.

If d is the number of days then dh≥12. We can write d≥12/h to work out the number of days in terms of the hours per day, or we can write h≥12/d to work out the number of hours per day she would need to work in terms of the number of days she has to complete the hours.

Also if H=hd, the number is hours required, then H≥12 hours.