Chapter 1.1, Problem 43E

Social Website Popularity: Twitter The following table shows the popularity of Twitter among social media sites as rated by StatCounter.com $\left(t\text{is}\text{the}\text{number}\text{of}\text{years}\text{since}\text{the}\text{start}\text{of}\text{2008}\right){:}^7$

Year t(year since start of 2008)	1	2	4	5
Twitter Popularity $p\left(t\right)$(%)	7	6	6	7

a. Represent p graphically, and then use your graph to estimate $p\left(4.5\right)$. Interpret your answer.

b. One of the following models fits the data almost exactly. Which model is it?

(A) $p\left(t\right)=0.4t^3-4t^2+12.5t+15$

(B) $p\left(t\right)=-0.33t^2+2t-8.7$

(C) $p\left(t\right)=-0.4t^3+4t^2-12.5t+15$

(D) $p\left(t\right)=0.33t^2-2t+8.7$