Question 277031
cost equation is y = .5x + 3000


revenue equation is y = 2x


graph of these 2 equations is shown below:


{{{graph (1200,600,-1000,3000,-1000,5000,.5*x + 3000,2*x,4000)}}}


Being able to draw this graph is a matter of using the right scale.


The break even point is when the cost equation equals the revenue equation.


that would be calculated as follows:


2x = .5x + 3000


subtract .5x from both sides of this equation to get:


1.5*x = 3000


divide both sides of this equation by 1.5 to get:


x = 2000


from the graph, you should be able to see that when x = 2000, y = 4000 and that the 2 equations intersect at that point.


I placed a horizontal line at y = 4000 so you could see it better.


you would need to trace a vertical line down from there to see that when y = 4000, x = 2000.


you can also see that from both equations.


let x = 2000 and y = 3000 + 1000 = 4000 from the cost equation.


let x = 2000 and y = 4000 from the revenue equation.


your y-intercept is 3000.


That's the value of y when x = 0.


from that you can see that your x value had to extend to some point above 2000 so you could see the point where the equations meet.


from that you can see that your y value had to extend to some point above 4000 in order to capture both the value of y when x = 0 and the value of y when the two equations meet.


to graph properly in algebra.com, you need to have the range of your x and y axis extend below 0 or the graph will not show up properly.