To determine the equation to represent this situation, we can use 2.5x to show the amount of profit per product, and a y intercept value of -550 to show the cost for rent. Now, we have the equation y=2.5x-550.
The break even point is when the profits balance out the expenses, so in this case, y should equal 0.
0=2.5x-550
Add 550 to both sides...
550=2.5x
Divide both sides by 2.5...
x=220
So, our answer is 220 products.
For the first one it would be C.
![x= \pi](https://tex.z-dn.net/?f=x%3D%20%5Cpi)
Step-by-step explanation:
![\cos^2x+\cos x+1=0](https://tex.z-dn.net/?f=%5Ccos%5E2x%2B%5Ccos%20x%2B1%3D0)
Let ![u= \cos x](https://tex.z-dn.net/?f=u%3D%20%5Ccos%20x)
Then ![u^2+2u+1=(u+1)^2=0](https://tex.z-dn.net/?f=u%5E2%2B2u%2B1%3D%28u%2B1%29%5E2%3D0)
or
![\cos x = -1](https://tex.z-dn.net/?f=%5Ccos%20x%20%3D%20-1)
This gives us
or all integer multiples of ![\pi (n \pi)](https://tex.z-dn.net/?f=%5Cpi%20%28n%20%5Cpi%29)
1. 79
2. 330
3. 452
4. 1212
5. 351
6. 202
7. 238