Chapter 1.2, Problem 51E

To determine

The kind of model that best fit the data in the table showing the popularity of Pinterest among social media sites as rated by StartCounter.com.

Year t since start of $2008$	$3$	$4$	$5$
Pinterest Popularity $p\left(t\right)$ $\left(\%\right)$	$0.0$	$6.5$	$13.0$

Out of the following options:

$p\left(t\right)=mt+b$

$p\left(t\right)=a{t}^2+bt+c$

$p\left(t\right)=A{b}^t$

Where (A, a, b, c and m are constants).