multiple choice sequence puzzle

[Joshua Zucker]

Someone sent me this puzzle (don't know the original source):
Trying to find the next two number in the sequence 15, 19, 16, 13, 13, 10,__,__

multiple choice for this shows answers as:
A) 10,6 B) 11,7 C)11,9 D)12,8 E)9,9

Which one should it be, among these choices?
I don't really have a strong preference for any of them.  All the
differences of 3 make me want 10s and 7s for the next terms but I
can't have both.  That 15 at the start has to be a big clue, but
neither superseeker nor I seem to have a particularly good idea.

Can anyone help?

--Joshua Zucker