If answer is worth 16 points, cat 8, dog 8, Kamloops 19, puzzle 16, smoky 12, soap 8, yes 6, and yoyo 6, what is the rule for how many points a word is worth?

(Hint: The rule has to do with the letters, not the meaning of the word.)

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. **The deadline is Wednesday, August 30, 2017 at noon Pacific Time.** I will post the answer shortly after.