Asked by Nardley Docteur on May 21, 2024
Verified
The population of a region for 2000 is 282.2 (in millions) . The predicted population (in millions) for the region in the year 2020 is 355.5. Calculate the constants C (to one decimal place) and k (to four decimal places) to obtain the experimental growth model y=Cekty = C e ^ { k t }y=Cekt for the population. (Let t=0t = 0t=0 correspond to the year 2000.) What does the model predict the population will be in 2030? Round your answer to one decimal place.
A) 399.0 million
B) 282.2 million
C) 103.8 million
D) 392.2 million
Experimental Growth Model
A theoretical construct that uses empirical data to model how quantities grow over time, often nonlinearly.
Population
The entire group of individuals or items that is the subject of a statistical study.
- Represent exponential growth and decay in diverse contexts, such as population increase and investment expansion.
Verified Answer
NJ
Narasimha JalahalliMay 25, 2024
Final Answer :
A
Explanation :
The model predicts the population will be approximately 399.0 million in 2030. This is calculated by first finding the constants C and k from the given data for the years 2000 and 2020, and then using these constants to predict the population for the year 2030.
Learning Objectives
- Represent exponential growth and decay in diverse contexts, such as population increase and investment expansion.