Question

The students in an eighth-grade class had a dance. They spent $500 for a local band. The equation shown can be used to find the total profit, y if the students sold x tickets to the dance: y = 4x - 500. What does the 4 represent in the equation?

a) The price per ticket
b) The cost of the band
c) The number of tickets sold
d) The profit made from selling x tickets

Answer 1

In the equation 'y = 4x - 500', used to calculate profit from ticket sales, the number '4' represents the price per ticket.

Step-by-step explanation:

The equation y = 4x - 500 given for finding the total profit from selling tickets for a dance can be understood by looking at its components. The value '4' in this equation represents the price per ticket, which is the amount of money made for each ticket sold. So, when 'x' tickets are sold, '4x' gives the total revenue from ticket sales. After spending $500 for a local band, the profit is found by subtracting this expense from the revenue, thus 'y = 4x - 500' shows the profit made after selling 'x' tickets and paying for the band.