The populations P (in thousands) of Horry County, South Carolina, from 1971 through 2018 can be modeled by P
=75.9e^(0.03162)
where freprese
1971.
(a) Use the model to find the population in 1980, 1990, 2000, and 2010. (Round your answers to the nearest whole number.)
1580
1990
2000
2010
◻
(b) According to the model, in what year will the population of Horry County reach 360,000? (Round your aftiwer down to the nearest year.)
◻
(c) Do you think the model is valid for long-term predictions of the population? Explain. Yes, as
t
increases, the population increases rapidly. Yes, as
t
increases, the population decreases rapidly. Yes, as
t
increases, the population remains constant. No, as
t
increases, the population increases rapidy. No, as
t
increases, the population decreases rapidly.