Paste it into your address bar and plug in the two points. You will see a graph.

You have to shade the graph to solve your problem.

In this case choose (0 ,0) as your "Test Point" (anything you dont understand about my explination send me a request and I'll answer)

12(0) + 15(0) > 360 implies that 0 >360 which is false so shade the side of the line not cpntaining that point. I this case that will be the "top half " also since the inequality is
strict when you redraw the graph you'll want to use a dashed line to indicate that values on the line itself are not included.

Crystal B. | Never Fear! Math is Here!Never Fear! Math is Here!

1

We have the inequality 12p + 15c > 360

If you set the left hand side equal to the right you will have 12p + 15c = 360. We let this be the standard form of a line where the x variable is replaced by c and the y variable is replaced by p.

Now you can rewrite the equation from bullet 2 in slope intercept form by: subtracting 15c from both sides of the equation and dividing both sides by 12. Our slope intercept form of the equation should look like this: p = -5/4*c + 30.

Now since we originally had an equality let's replace that equal sign with a greather than sign like such: p > -5/4*c + 30.

Now in order to graph the inequality use the equation in bullet 3. Your p - intercept should be (0, 30) and your c - intercept should be (24, 0). The slope of your line is negative. Use a dashed line to draw the line. The dash will signify that p = -5/4 + 30 is not a solution of our inequality.

Finally since p is "greater than" -5/4*c + 30 shade in the area above the line.