U.S. households with cable/satellite TV
Suppose the rate of change of the percent P of U.S. households with cable/satellite TV can be modeled by
dP/dt = 46.20/(t+5)
where t is the number of years past 1975.
(a) Use integration and the data point for 2007 to find the function P(t) that models the percent of U.S. households with cable/satellite TV.
(b) How well does the model from part (a) fit the data in the table? Explain.
(c) If the model remains valid, use it to predict the percent of U.S. households with cable/satellite TV in 2020.
