I really need help to find the answer to this question below. If possible, please show every step of the way in a detailed form so i can understand, it takes me a while to fully comprehend whats being done. Thank you so much.

QUESTION: the data shown model the growth of a rabbit population in an environment where the rabbits have no natural predators. Determine an algebraic model for the data.

Year: Rabbit Population:
1955 650
1958 2180
1960 5300
1961 8200
1962 12400
1965 35000
1968 66300
1975 91600
1980 92900
1986 92800
1990 93100