12p+15c>360

Question

solve and graph this problem please

 

Answer 1

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.

Answer 2

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.

Answer 3

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.

Answer 4

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

Answer 5

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