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 x, where
X is the years since 2000. Estimate the Alzheimer's patients in 2025. Round to the nearest tenth.
A) 7.8 million
B) 8.0 million
C) 4.8 million
D) 3.9 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  x, where
X is the years since 2000. Estimate the Alzheimer's patients in 2025. Round to the nearest tenth.
A) 7.8 million 
B) 8.0 million 
C) 4.8 million 
D) 3.9 million

Quizplus · Accepted Answer

First, we need to find the value of the constant "b" in the exponential function. We can use the given data to solve for "b":
When X = 0 (which represents the year 2000), the number of patients was 4 million. So, we have:
4 = 11ebb6d7_48e6_7a7f_b437_777e04b88cb9_TB8593_11 * 0
Simplifying, we get:
1 = b
Now, we can use this value of b in the exponential function to estimate the number of Alzheimer's patients in 2025 (which is 25 years after 2000):
y = 11ebb6d7_48e6_7a7f_b437_777e04b88cb9_TB8593_11 * 25
y = 11ebb6d7_48e6_7a7f_b437_777e04b88cb9_TB8593_11 * 32
Using a calculator, we get:
y ≈ 7.8 million
So, the answer is A) 7.8 million.

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