Question

Producing a musical costs $88,00 plus $5600 per performance. One sold-out performance earns $7500 in revenue. If every performance sells out, how many performances are needed to break even?

Answer 1

If we take this work problem we can easily make an equation out of it

So Let us say Y is how much money we make

Y=-8800+5600x+7500z

x is the number of performances
z is the number of sold out performances

I think you may have missed a 0 in 88000? if so you can just add the extra 0.

From there, you will want to set Y=0, which means they did not lose any money or gain any money, breaking even. and with only sell out performances you can set x=0, so our new equation is

Y=-8800+7500z
0=-8800+7500z

solve for z :)

Answer 2

So sorry, it should be:

Y=-8800-5600x+7500x

x is your number of performances :)

Answer 3

So just to clear it up one step more

You can combine the two x terms

so...
Y=-8800+1900x

Plug 0 in for Y and solve for x :)

Answer 4

Thanks so much :)