Question

Angel is a senior in high school and works two jobs. He tutors for $20 per hour and walks dogs for $6 per hour. Angel's parents want him to work for no more than 18 hours per week. He wants to make at least $250 per week. Which system of linear inequalities represents this situation where t is the number of tutoring hours worked and w is the number of hours walking dogs E. t tw< 20 20t + 6w > 250 F. t tw 250 G. t +w< 250 20t + 6w< 18 H. 20t + 6w > 18 t + w > 18

Answer 1

Let:

t = time spent as tutor

w = time spent walking dogs

Angel's parents want him to work for no more than 18 hours per week, so:

t + w < 18

Besides, He tutors for $20 per hour and walks dogs for $6 per hour and He wants to make at least $250, so:

20t + 6w ≥ 250