You want to purchase at least 10 tickets to a baseball game, but can spend at most $200. Lower level tickets &8 each, while upper level tickets cost $5. Write and graph a system of inequalities to represent the situation. Give two possible combinations of the number of lower level tickets and upper level tickets that you can purchase.

Answer 1

let the number of lower tickets be x
let the number of upper tickets be y

x+y ≥10 ---> y ≥ -x + 10
8x + 5y ≤ 200 ---> y ≤ - (8/5)x + 40

sketch both inequalities then pick any two points in their intersection.