Solve the problem.
-Since life expectancy has increased in the last century, the number of Alzheimer's 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 data can be modeled by the exponential function l function where
X is the years since 2000. Estimate the Alzheimer's patients in 2025. Round to the nearest tenth.
A) 3.9 million
B) 4.8 million
C) 8.0 million
D) 7.8 million

Question

Solve the problem.
-Since life expectancy has increased in the last century, the number of Alzheimer's 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 data can be modeled by the exponential function l function  where
X is the years since 2000. Estimate the Alzheimer's patients in 2025. Round to the nearest tenth.
A) 3.9 million 
B) 4.8 million 
C) 8.0 million 
D) 7.8 million

Quizplus · Accepted Answer

We need to plug in the value of X = (2025-2000) = 25 in the given function and round to the nearest tenth.

l(25) = 4 million * e^(0.049*25) ≈ 7.8 million (rounded to the nearest tenth)

Therefore, the estimated number of Alzheimer's patients in 2025 is 7.8 million, which corresponds to option D.

Solve the Problem. -Since Life Expectancy Has Increased in the Last Century, the Last