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.
The x-intercept of a function is the value of x when y is 0. So let's set sin(x) equal to zero. When does sin(x) equal zero? Based on the unit circle, you know that sin(0) is 0, so that is one x-intercept. You also know that sin(pi) is 0. Basically, every time x, starting from zero, increases or decreases by a multiple of pi, sin(x) is still zero. The answer can be represented by x=n*pi; where n=any integer.
Answer (least to greatest):
- -2.4
- -2.25
- -11/5
- 15/10
- 1.6
I hope this helps!
The answer is 412,987
I hope this helps :)
