Question

You attend a baseball game with friends and visit the snack stand between innings. Soda costs $2 a can, and a box of popcorn costs $1.50. You have $15 with you, and you wish to buy more cans of soda than boxes of popcorn. If x represents the number of cans of soda and y the number of boxes of popcorn, draw a graph that represents the inequalities in this scenario

Answer 1

There are two different inequalities the question gives. One of them is x>y because you have to buy more soda than popcorn and the other is 2x+1.5y≤15 because soda costs $2, popcorn costs $1.50 and you only have $15 so the total has to be less than or equal to 15. In terms of y, the two equations are y<x and y≤-4/3x+45/3. These equations are shown by the graph in the attached image.