Iced tea, x, costs $4 per gallon and lemonade, y, costs $6 per gallon. You need to purchase at least 9 gallons of drinks for a neighborhood picnic, but have at most $55 to spend. Model the scenario with a system of inequalities. Which of the following options represents a possible solution to the system of inequalities?A. (10,10)B. (10, -5)C. (2,10)D. (10,1)

Answer:p + q ≥ 9 and 4p + 6q ≤ 55(10,1)Step-by-step explanation:Iced tea, x, costs $4 per gallon and lemonade, y, costs $6 per gallon. Let us take p gallons of Iced tea and q gallons of lemonade. Now, we need to purchase at least 9 gallons of drinks for a neighborhood picnic but have at most $55 to spend. Therefore, the inequalities we can write from the above condition are p + q ≥ 9 ....... (1) and 4p + 6q ≤ 55 ........ (2) Now both these two inequalities will be satisfied by the solution of (10,1) i.e. 10 gallons of iced tea and 1 gallon of lemonade. (Answer)