Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. she folds the remaining cardboard to make a tray that is x in. high. write and simplify a polynomial function for the volume v of the tray in terms of x.

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?