Question

Since life expectancy has increased in the last century, the number of Alzheimer patients has increased dramatically. The number of patients in the United States reached 4 million in 2000. Using data collected since 2000, it has been found that the date can be modeled by the exponential function y=4.19549 *(1.02531)^x, where x is the years since 2000. Estimate the Alzheimer patients in 2025

Answer 1

Based on the exponential function, it is estimated that there will be more than 7,837,000 Alzheimer patients in 2025.

Explanation:

To estimate the number of Alzheimer patients n 2025 and the exponential function given, first get the corresponding number of years since 2000: 2025-2000=25. Use this value for x. The function value gives an estimated number of patients (in millions) in 2025:

`y(x)=4.19549\cdot 1.02531^x\\y(25)=4.19549\cdot 1.02531^(25) =7.83723`

Based on the exponential function, it is estimated that there will be more than 7,837,000 Alzheimer patients in 2025.

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