A school district is planning a banquet to honor its teachers of the year and raise money for its scholarship foundation. The budget to hold the banquet in a hotel ballroom is at most $3,375. The venue can hold no more
than 125 guests. The cost is $45 per adult but only $15 per student because the caterer offers a student discount.

Step-by-step explanation:

Let h be the number of hours.

We have been given that Franco earns $8 per hour at his after-school job, so the amount earned after working h hours will be 8h.

Last week, he received a paycheck of more than $168. This means that the amount earned for h hours will be greater than 168.

We can represent this information in inequality as:

Let us divide both sides of our inequality by 8.

Therefore, Franco should have worked more than 21 hours.