If w is some number between 3 and 10, which of the following could be the average of the numbers 4,5,6,7,9 and w?

(A)4.6
(B)5.1
(C)6.3
(D)7.9
(E)8.2

4+5+6+7+9 = 31

So, the new sum will be between 34 and 41

Divide both of those by 6 and match it up with the choices.