Question

MODELING REAL LIFE The total ticket sales from a school play must be at least $1500 to cover the expenses of producing

the play. Student tickets cost $6, and adult tickets cost $10. Write an inequality using the variable x to represent the
number of adult tickets and the variable y to represent the number of student tickets.
Inequality:

Answer 1

• 10x +6y ≥ 1500
• upper left graph (see attachment)

Explanation:

You want an inequality and graph representing the scenario that sales of x adult tickets at $10 and y student tickets at $6 must be at least $1500.

Sales

The revenue from the sale of x adult tickets will be 10x. The revenue from sale of y student tickets will be 6y. We want the total sales of these tickets to be at least (greater than or equal to) $1500. That inequality is ...

10x +6y ≥ 1500

Graph

The graph of the inequality is shown in the attachment. The line is solid because points on the line will satisfy the requirement. The area above is shaded because more revenue than the minimum is allowed as a solution.

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