Question

A movie theatre sells tickets to a film for $19 each. The theatre also sells beverages for $5. The theatre needs to make $2,000 in all in order to break even on the film. Use t for the number of tickets sold and b for the number of beverages.

A linear equation that models the situation is _____ = 2,000.
A) t - 5b = 2,000
B) 19t + 5b = 2,000
C) 19t - 5b = 2,000
D) t + 5b = 2,000

Answer 1

The correct linear equation that models the situation described is 19t + 5b = 2,000, which accounts for the sale of movie tickets and beverages needed to reach the break-even point. Therefore, the linear equation is: 19t + 5b = 2,000

Step-by-step explanation:

The student is being asked to find a linear equation that models the situation where a movie theatre sells tickets for $19 each and beverages for $5 each, and needs to make a total of $2,000 to break even. To create this equation, we consider the number of tickets sold (t) and the number of beverages sold (b). The total revenue generated from ticket sales is $19 multiplied by the number of tickets sold (t), and the total revenue from beverages is $5 multiplied by the number of beverages sold (b). So, the equation representing the total revenue R to break even is R = 19t + 5b.

Therefore, the linear equation is: 19t + 5b = 2,000