Final answer:
The subject of this question is Mathematics. To find the number of bags of popcorn and cups of iced tea the students need to sell, a system of equations can be set up using the given information. Solving the system of equations will provide the values of 'x' and 'y'.
Step-by-step explanation:
The subject of this question is Mathematics. The equation and graph provided in the question represent the scenario of students selling popcorn and iced tea, and their goal is to make a total of $60. They are selling popcorn at $3 per bag and iced tea at $1.50 per cup. To find the number of bags of popcorn and cups of iced tea they need to sell, we can set up a system of equations.
Let's assume 'x' is the number of bags of popcorn sold and 'y' is the number of cups of iced tea sold. The total revenue from selling popcorn is 3x, and the total revenue from selling iced tea is 1.50y. We can set up the following equations:
3x + 1.50y = 60
x + y = total number of items sold
From there, we can solve the system of equations to find the values of 'x' and 'y'.