Security Systems The number of North American companies supplying technology-securit...

Security Systems The number of North American companies supplying technology-security systems between 2002 and 2008 with a projection for 2009 can be modeled as

where output is measured in companies and t is the number of years since 2000.

(Source: Based on data in USA Today, p. 2B, 5/18/2009)

a. How many companies were expected to supply technology-security systems in 2009?

b. Numerically estimate, to the nearest integer, the rate of change of the number of companies at the end of 2009.