A dozen rabbits were released into the open on a farm in Australia over 100 'years ago. Because the rabbits had no natural enemies, the population increased exponentially to over one hundred million in 1999. This large population has affected, and continues to affect, the natural vegetarian and crops. People have tried to control the rabbit population over time using different methods. These attempts have slowed the rate of growth from time to time, but have failed to control the ever-growing rabbit population.

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The following data models the growth of another rabbit population in a similar case. Year. 1955 1958 1960 | 1961 1962 1965 1968 1975 1980 1986 1990 Rabbit Population 650 2,180 5,300 8,200 12,400 35,500 66,300 91,600 92,900 92,800 93,100 P1: Graph the ordered pairs in the table about the rabbit population. (10%, K/U) P2: Create a model using y c(e)". (10%, T/I) P3: Is the model a good fit? Does the model fit all data? (15%, C) P4: Do you think this model will work for a portion of the data? If so, which portion? Explain. (10%, C) P5: Create a model using y= c(e) to fit this portion of the data. (15%, K/U) P6: Find an equation for the rate of change for your model. (10%, A) P7: What is the rate of change in the population growth at 5 years? At 10 years? (15%, A) P8: Predict the rabbit population in 2020. (15%, A) The following data models the growth of another rabbit population in a similar case. Year. 1955 1958 1960 | 1961 1962 1965 1968 1975 1980 1986 1990 Rabbit Population 650 2,180 5,300 8,200 12,400 35,500 66,300 91,600 92,900 92,800 93,100 P1: Graph the ordered pairs in the table about the rabbit population. (10%, K/U) P2: Create a model using y c(e)". (10%, T/I) P3: Is the model a good fit? Does the model fit all data? (15%, C) P4: Do you think this model will work for a portion of the data? If so, which portion? Explain. (10%, C) P5: Create a model using y= c(e) to fit this portion of the data. (15%, K/U) P6: Find an equation for the rate of change for your model. (10%, A) P7: What is the rate of change in the population growth at 5 years? At 10 years? (15%, A) P8: Predict the rabbit population in 2020. (15%, A)

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