In 1970 the population of alligators on the Kennedy Space Center grounds was estimated to be 300. In 1975, the population of the alligators on the Kennedy Space Center grounds was estimated to be 1200. In 1980, the population had grown to an estimated 1500. Use a logistic model to estimate the alligator population on the Kennedy Center grounds in the year 2005.
This is what I did, but I am not sure if this is correct and please please correct me on what I did wrong if I did anything wrong.
P(t) = p*e^(k*t)
1200 = 300e^(5k)
k = ln(4)/5
1500 = 1200e^(5k)
k = ln(5/4)/5
P(35) = 300e^(ln(4)/5 + ln(5/4)/5)*35
Solution: 23,437,500
This is what I did, but I am not sure if this is correct and please please correct me on what I did wrong if I did anything wrong.
P(t) = p*e^(k*t)
1200 = 300e^(5k)
k = ln(4)/5
1500 = 1200e^(5k)
k = ln(5/4)/5
P(35) = 300e^(ln(4)/5 + ln(5/4)/5)*35
Solution: 23,437,500