Chapter 1.1, Problem 44E

Social Website Popularity: Delicious The following table shows the popularity of Delicious among social media sites as rated by StatCounter.com $\left(t\text{ is the number of years since the start of 2008}\right){:}^8$

Year t(year since start of 2008)	1	2	3	4	5
Delicious Popularity $p\left(t\right)$(%)	0.4	0.2	0.1	0.05	0.02

a. Represent p graphically, and then use your graph to estimate $p\left(3.5\right)$. Interpret your answer.

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

(A) $p\left(t\right)=0.8\left(2^{-t}\right)$

(B) $p\left(t\right)=0.8\left(2^t\right)$

(C) $p\left(t\right)=0.02t^2-0.2t+0.6$

(D) $p\left(t\right)=-0.02t^2+0.2t-0.6$