Question

The number of bacteria in a sample increased by a factor of 2 every minute from 9:05 AM to 9:55 AM. The function below shows the number of bacteria in the sample f(x) after x minutes from 9:05 AM.. . f(x) = 10(2)x. . Which of the following is a reasonable domain for the function? a. 0 ≤ x ≤ 10 b. 5 ≤ x ≤ 55 c. 0 ≤ x ≤ 50 d. All positive integers

Answer 1

c. 0 ≤ x ≤ 50 is the right answer because the starting time 9:05 is considered as zero and the 9:55 is the ending point which is considered as 50.Or simply the difference of both the times is the domain of the function.

Answer 2

Option c is correct.

Explanation:

We have been given number of bacteria in a sample increased by afactor of 2

We have a function

`f(x)=10\cdot 2^x`

We have to find from 9:05 AM to 9:55 AM

Let us consider 9:05 as 0 and 9:55 as 50

basically we have to find from 0 to 50

Hence, the domain of the given function will be
`0\leqx\leq50`

Therefore, Option c is correct.