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.

120 Tickets

Step-by-step explanation:

Band rues charges $950 to play all night.

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

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!