Assign two variables for each problem, and write the equations. do not solve.

a basketball team stopped at a fast-food restaurant after a game. they divided into two groups. one group bought 5 chicken sandwiches and 7 hamburgers for a cost of $24.90. the second group sent $28.80 and bought 5 chicken sandwiches and 9 hamburgers. how much does a hamburger cost?

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.