Paula is planning a dinner dance. She wants to keep the ticket price as low as possible. Band A: charges $600 to play for the evening

Band B: Charges $350 plus $1.25 per student

After how many students would it be better to hire Band A?

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters