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?
The number of viewers changed by a factor of 3 each day. This means that each day the number of viewers is multiplied by 3.
Let's start with the number of viewers on the first day, which we'll call "x". On the second day, the number of viewers is 3 times x. On the third day, the number of viewers is 3 times (3 times x), or 3^2 times x. On the fourth day, the number of viewers is 3 times (3^2 times x), or 3^3 times x. Finally, on the fifth day, the number of viewers is 3 times (3^3 times x) or 3^4 times x.
So, the list representing the number of viewers of this video each day for the first five days is: x, 3x, 3^2x, 3^3x, 3^4x.
In summary, the list representing the number of viewers of this video each day for the first five days is: x, 3x, 9x, 27x, 81x.
wrong
My apologies for the mistake. Since the number of viewers changed by a factor of 3 each day, we need to start with a certain number of viewers and then multiply by 3 each day.
Let's say the number of viewers on the first day is "x".
On the second day, the number of viewers is 3 times x, which is 3x.
On the third day, the number of viewers is 3 times 3x, which is 9x.
On the fourth day, the number of viewers is 3 times 9x, which is 27x.
On the fifth day, the number of viewers is 3 times 27x, which is 81x.
So, the correct list representing the number of viewers of this video each day for the first five days is: x, 3x, 9x, 27x, 81x.
A 15, 18, 21, 24, 2715, 18, 21, 24, 27
B 9, 27, 54, 108, 3249, 27, 54, 108, 324
C 4, 12, 36, 108, 3244, 12, 36, 108, 324
D 3, 9, 27, 108, 432
The correct option would be:
C - 4, 12, 36, 108, 324