Question

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

Answer 1

0 ≤ x ≤ 10 is the answer\

Answer 2

`0 ≤ x ≤ 10`

Explanation:

Given that the number of users of the internet in a town increased by a factor of 1.01 every year from 2000 to 2010.

Given that the function is exponential with base 1.01

`f(x) =3000(1.01)^x`

where x is the number of years from 2000 starting as 0

Since x can take values only from 0 to 10 we have domain of the function

is

0 ≤ x ≤ 10

2000to 2010 is not correct as year is measured as 0 to 10 only