David R.

asked • 08/24/12# 12p+15c>360

solve and graph this problem please

## 5 Answers By Expert Tutors

Wendy K. answered • 09/03/12

Math Tutor and Mom with a B.S. in Mathematics from UMD

For the instruction to "solve" the equation, did they specify "solve for p" or "solve for c" ? If so, then that means to first put it in slope-intercept form by using algebra to get the p or the c by itself on the left side of the ">" sign.

Barbara W. answered • 08/24/12

Math Magic EPCOT engineering week presenter

In the answer provided by Cornelia M., it is assumed that p=x and c=y. You would label the x axis "p" and the y axis "c". Point (0,24) would have p=0 and c=24. Point (30,0) would have p=30 and c=0.

This is the "solution" to the equation, all points in the shaded area, not including points directly on the dashed line.

Cornelia M. answered • 08/24/12

Math Tutor - Specializing in Middle school through College

There are 2 variables, so you can't 'solve' this equation. However, you can certainly graph it. First, look at like 12x+15y>360. This equation can be simplified by dividing each term by 3. You get 4x+5y>120. Let's pick two points to put on our graph paper that satisfy this equation. If x=0, then y=24. If y=0, then x=30. OK, plot (0,24) and (30,0) on your graph paper and connect the dots with a dotted line since your inequality sign is >. Now, what side to shade? Does the point (0,0) satisfy the equation? No (0 is not greater than 360). OK, so shade the side NOT containing (0,0). Sorry that I can't show the graph to you. Good luck! From, Cornelia M.

Karen T. answered • 09/17/22

Bachelor of Science in Engineering + 20 years as private tutor

Hi, David!

The solution for 12p + 15c > 360 is the graph of the area where this is true.

To graph this, let's put p on a line going across and c on a line going up and down. If you can use graph paper it makes it a lot easier.

Draw the p and c lines so that they cross.

Now let's find a few points so we can graph a dotted line which will divide the place where the solutions are from the place where they are not. The two easiest points to find are where p = 0 and where c = 0.

First, p = 0. We will solve 12p + 15c = 360 to get a point.

12(0) + 15c = 360, or 15c = 360. Divide both sides by 15. c = 24.

This gives us the point (0, 24)

Next, c = 0. Again, we solve 12p + 15c = 360 to get a point.

12p + 15(0) = 360, or 12p = 360. Divide both sides by 12. p = 30

This gives us the point (30, 0).

Put a dot on the p line for (0, 24). Put a dot on the c line for (30, 0).

Draw a dotted line to connect these two points.

Since we want greater than (>), we shade above the dotted line.

I hope this helps!

Best, Karen

Hatice B. answered • 01/13/21

PhD in Engineering with years of teaching and tutoring experience

12p + 15c > 360

write one of them (make it y axis) in terms of the other (make it x axis)

c > 24 - 0.8p

or

p > 30 - 1.25c

find the intercepts

draw the line for the function

Any point in shaded area is the solution

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Barbara W.

It doesn't matter if you solve for the "c" (y) or "p" (x) intercept, the graph of the solution is the same (or reflected if you label the axis in the opposite way; c=x and p=y).

09/04/12