I'm not sure what the correct answer is

  C.  between L and M

Step-by-step explanation:

You can rewrite the ratio to give the ratio AP:AB. That will be ...

  AP : AB = AP : (AP +PB) = 4 : (4+3) = 4 : 7

Now, you can find how many fifths this is:

  5·4/7 = 20/7 = 2 6/5

This is a number more than 2 and less than 3.

This means point P is located between 2/5 (L) and 3/5 (M) of the length of AB.

where is the image?

step-by-step explanation: