A group of Mr. Bonnin's students recorded a video about fractions and posted it online. The number of viewers changed by a factor of 3 each day from the first day to the fifth day. Which list could represent the number of viewers of this video each day for the first five days?
A 15, 18, 21, 24, 27
B 9, 27, 54, 108, 324
C 3, 9, 27, 106, 432
To find the number of viewers each day, we need to multiply the previous day's number of viewers by a factor of 3.
Starting with the first day, if we multiply 15 by 3, we get 45. However, none of the answer choices include 45, so we can eliminate choice A.
Starting with the first day, if we multiply 9 by 3, we get 27. This matches the second day in choice B.
For the third day, if we multiply 27 by 3, we get 81. However, none of the answer choices include 81, so we can eliminate choice B.
For the third day, if we multiply 9 by 3, we get 27. This matches the third day in choice C.
For the fourth day, if we multiply 27 by 3, we get 81. None of the answer choices include 81, so we can eliminate choice C.
For the fourth day, if we multiply 54 by 3, we get 162. None of the answer choices include 162, so we can also eliminate choice B.
For the fifth day, if we multiply 108 by 3, we get 324. This matches the fifth day in choice B.
Since choice B is the only answer choice that matches the given conditions, the correct answer is B 9, 27, 54, 108, 324.