Question

Callie posted a cute cat video on a popular website. On the first day after she posted the video, the video had 5 views. On the second day, it had 15 views. On the third day, it had 45 views, and on the fourth day, it had 135 views.

A. How many views would you expect the video to have after 5 days? Explain how you found your answer.



B. Which type of reasoning did you use to solve this problem, deductive or inductive? (2 points)

Answer 1

(A) 5th day: 405 views

(B) inductive

Explanation:

Each day the views get multiplied by 3.

Answer 2

A. I would expect the video to have 405 views after day 5. There is a pattern of the number being multiplied by 3.

B. Deductive reasoning

Explanation:

(This is really going to explain BOTH questions at the same time)

Looking that the problem, the number of views keep going up. There is a multiplier behind this, we just don't know WHAT multiplier it would be. To find that out, divide 1 value by the one before it. I'll do 135 divided by 45 as an example. That would equal three. Now we know the multiplier is 3. So, now we need to multiply 135 by 3 to get 405 views after five days.

(This is really summarizing B, whilst answering A.)