Purchasing Power A model giving the purchasing power of the 2001 constant dollar is...

Purchasing Power A model giving the purchasing power of the 2001 constant dollar is

where t is the number of years since 2001. Based on data between 2001 and 2010.

(Source: Based on data from the US Dept. of Labor)

a. What was the value of a 2001 constant dollar in 2000? in 2010?

b. According to the model, when will the value of a 2001 constant dollar fall below 80 cents? Below 75 cents?