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

0 ≤ x ≤ 10

The domain is the possible values that the variable 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 is at most 10 years; therefore

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

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

why can't you?

step-by-step explanation:

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)