Question

Band rues charges $950 to play all night.

DJ phoria charges $350 plus $5 for each ticket sold.

Write a linear equation for the cost of the DJ where y = the total cost and x = the number of tickets sold. The equation for the Band is y = 950.
Graph each equation on the same coordinate plane and find the number of tickets for which the cost of the band and the DJ would be equal. Make sure to name and number the axes of your graph. Also, solve the system of equations analytically, showing all work.

Answer 1

120 Tickets

Explanation:

Band rues charges $950 to play all night.

• Total Cost, y=$950

DJ phoria charges $350 plus $5 for each ticket sold.

• Total Cost, y=$(350+5x), x = the number of tickets sold.

(a)The graph is attached.

From the point of intersection of the two lines, the number of tickets for which the cost of the band and the DJ would be equal is 120 tickets.

(b)

Given the two linear equations

y=950

y=350+5x

Therefore:

950=350+5x

950-350=5x

5x=600

x=120

Therefore, the number of tickets at which the cost of the band and the DJ would be equal is 120, just as obtained above.