Problem

Alzheimer’s Disease In 2000, 411,000 cases of Alzheimer's disease were diagnosed...

Alzheimer’s Disease In 2000, 411,000 cases of Alzheimer's disease were diagnosed. The annual number of diagnosed cases was expected to increase to 454,000 cases in 2010, 615,000 cases in 2030, and 959,000 cases in 2050.

(Source: 2008 Alzheimer’s Disease Facts and Figures, Alzheimer’s Association)

a. Find a model for the data. Round the coefficients of the equation to two decimal places.

b. Use the algebraic method to develop a formula for the derivative of the rounded model.

c. Calculate the rate of change of the model in 2010. Interpret the result.

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