The American food dollar: The following table shows the percentage P = P (d ) of the American food dollar that was spent on eating away from home (at restaurants, for example) as a function of the...

The American food dollar: The following table shows the percentage P = P (d ) of the American food dollar that was spent on eating away from home (at restaurants, for example) as a function of the date d.

a. Find P (1980) and explain what it means.

b. What does P (1990) mean? Estimate its value.

c. What is the average rate of change per year in percentage of the food dollar spent away from home for the period from 1980 to 2000?

d. What does P (1997) mean? Estimate its value. (Hint: Your calculation in part c should be useful.)

e. Estimate the value of P (2003) and explain how you made your estimate.