Suppose the rate of change of the expected life span l at birth of people born in the United States can be modeled by

where t is the number of years past 1920.

(a) Use integration and the data point for 2010 to find the function that models the life span. Report the model with 3 significant digit coefficients.

(b) The data in the table give the expected life spans for people born in various years. How well does the model from part (a) fit the data?

(c) Use the reported model from part (a) to predict the life span for someone born in 2025.

Transcribed Image Text:

dl 14.9 dt t + 20