Bottled Water Consumption of bottled water in the United States increased dramatical...

Bottled Water Consumption of bottled water in the United States increased dramatically between 1980 and 2008. Per capita bottled water consumption between 1980 and 2008 can be modeled as

where t is the number of years since 1980.

(Source: Based on data from Beverage Marketing Corporation)

a. Numerically estimate, to three decimal places, how rapidly Per capita Bottled water consumption was growing in 2007.

b. Calculate the percentage rate of change in per capita bottled water consumption in 2007.