Question

15. Many times a tweet will be tweeted and then retweeted with the possible number of retweets growing exponentially. Manusi modeled this phenomenon with the function f(x) = 3(2)^x, using 2 to represent the number of intervals in which the tweet was retweeted. Which statement about Manuel's function is true? A. There were 2 original tweetsB. There are 3 times 2 or 6 retweets at each level. C. At each interval, the number of retweets doubles D. A tweet can be retweeted a maximum of 3 times.

Answer 1

C. At each interval, the number of retweets doubles

Step-by-step explanation:

The function that models the exponential growth of the tweet is:

`f\mleft(x\mright)=3\mleft(2\mright)^x`

When x=0

`\begin{gathered} f\mleft(0\mright)=3\mleft(2\mright)^0 \\ =3*1 \\ =3 \end{gathered}`

This shows that there were 3 original tweets.

`\begin{gathered} f\mleft(1\mright)=3\mleft(2\mright)^1=3*2=6 \\ f(2)=3(2)^2=3*4=12 \end{gathered}`

The growth ratio of the function is 2.

What this means is that at each interval, the number of retweets doubles.

The correct choice is C.