Data Table:

Year	Year (for modeling)	Population (thousands)
1887	0	1609.1
1899	12	1572.8
1919	32	2889.0
1931	44	3962.3
1943	56	4778.6
1953	66	5829.0
1965	78	7958.2
1975	88	9446.4
1985	98	10,097.9
1995	108	10,888.3
2005	118	11,261.6
2015	128	11,324.8
2020	133	11,326.6

6. Find a logistic function, f($) = To, that models Cuba's population growth. . Assume that 0.039 is a good value for b. Do not change this value. . Graph f (t) = 11,000 i the way on top of your points. (So the starting value for _ = 11,000 and the starting value for C = 15.) . Experiment with values for & and Cuntil you have a good model for the graphed points. Limit yourself to Z-values between 11,000 and 15,000 and Q-values between 11 and 15. What is your logistic model for Cuba's population? (8 points) 7. Find Cuba on a map. Why does a logistic model make sense for Cuba's population growth? (3 points)