7. Assume that the carrying capacity for a certain region is 800 million. The population was 282 million in 2000. i. Formulate a logistic model for region's population. ii. Determine the value of k in your model by using the fact that the population in 2010 was 309 million. Round off to the nearest ten thousandths. iii. Predict the region's population in the years 2100 and 2200. iv. In what year will the region's population exceed 500 million?

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