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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

Verified Answer :

Answer

0 ≤ x ≤ 10

Explanation

The domain is the possible values that the variable \(x\) can take.

The statement "the number of internet users f(x) after x years from the year 2000" is telling us that the x-axis represent the number of years, so the domain of the function is the number of years from 2000 to 2010.

Number of years = 2010 - 2000 = 10 years

So we know that \(x\) is at most 10 years; therefore \(x\leq 10\)

Since years can't be negative, we can also infer that x must be 0 or bigger than 0, so \(0\leq x\)

Now we can combine both inequalities to find the reasonable domain of the function:

\(0\leq x\leq 10\)

Answer:

your answer is A or 0 ≥ x ≥ 10.

Step-by-step explanation: