the drama department has set a fundraising goal of $4,700, which students will try to meet or exceed by…

the drama department has set a fundraising goal of $4,700, which students will try to meet or exceed by selling two kinds of popcorn. there are profits of $3 for each container of caramel popcorn sold and $2 for each container of chocolate - covered popcorn sold. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of containers of caramel popcorn y = the number of containers of chocolate - covered popcorn 3x + 2y ≤ 4,700 3x + 2y > 4,700 3x + 2y < 4,700 3x + 2y ≥ 4,700
Answer
Explanation:
Step1: Calculate total profit
Profit from caramel popcorn: (3x) (since (x) is the number of containers and profit per container is ($3)). Profit from chocolate - covered popcorn: (2y) (since (y) is the number of containers and profit per container is ($2)). Total profit: (3x + 2y).
Step2: Determine the inequality sign
The goal is to meet or exceed ($4700). "Meet or exceed" means the total profit (3x + 2y) should be greater than or equal to (4700).
Answer:
(3x + 2y\geq4700)