Objective [2.10]

Situation:
An online retail company tracked total number of purchases monthly. In June 2007 they were 3,850 purchases and in January 2008 there were 3,640.

The purchases followed a linear model of the form   p=S(t)=rt+i\displaystyle {p}={S}{\left({t}\right)}={r}{t}+{i}   where p\displaystyle {p} purchases is in 1000's and t\displaystyle {t} is months where January 2007=0

A.
Sales are at a constant rate of - pick the correct units

B. Write out the linear model function with the parameter values `p=S(t)=  

Now answer the following questions using this model

C. What does the model predict total purchases will be in September 2010?  

D. In what month and year does the model predict sales will be 2,410?