The number of users of the internet in a town increased by a factor of 1.01 every year from 2000 to 2010. The function below shows the number of internet users f(x) after x years from the year 2000: f(x) = 3000(1.01)x Which of the following is a reasonable domain for the function? 0 ≤ x ≤ 10 2000 ≤ x ≤ 2010 0 ≤ x ≤ 3000 All positive integers
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
The number of users of the internet in a town increased by a factor of 1.01 every year from 2000 to 2010. The function below shows the number of internet users f(x) after x years from the year 2000: f(x) = 3000(1.01)x
Determine which is a reasonable domain for the function.
Explanation:
The reasonable domain for the function is the set of all positive integers. We cannot have an inequality, as the domain of the function since our equation is linear, and does not contain any radical signs or rational representation. Due to this fact, we all know that linear equations have a domain of set of all integers. In our case, since our values is positive, then the domain is the set of all positive integers.
Final answer:
Domain: Set of all positive integers