Question

problem 3 a theater is selling tickets to a play. adult tickets cost $8 each and children’s tickets cost $5 each. they collect $275 after selling x adult tickets and y children’s tickets. graph: x - axis (adult tickets sold: 0–40), y - axis (children’s tickets sold: 0–60), line, point (30,7) marked what does the point (30,7) mean in this situation?

Explanation:

In the context of the theater ticket - selling problem, the x - axis represents the number of adult tickets sold and the y - axis represents the number of children's tickets sold. The point \((30,7)\) has an x - coordinate of 30 and a y - coordinate of 7. Since x is the number of adult tickets and y is the number of children's tickets, this point means that when 30 adult tickets are sold, 7 children's tickets are sold. We can also verify the total revenue: the revenue from adult tickets is \(8\times30 = 240\) dollars and the revenue from children's tickets is \(5\times7=35\) dollars. The total revenue is \(240 + 35=275\) dollars, which matches the total revenue given in the problem.

Answer:

The point \((30,7)\) means that when 30 adult tickets are sold, 7 children's tickets are sold.