The number of bacteria in a sample increased by a factor of 2 every minute from 9:05 AM to 9:55 a.m.. The function below shows the number of bacteria in the sample f(x) after x minutes from 9:05 a.m.: 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

Respuesta :

thinking that the equation is [tex]f(x)=10(2^{x})[/tex]
obvously, you cannot have negative numbers
thinking the domain is the experimented set
find how long

9:05 to 9:55 is 50 mins

would guess C
also D is possible

the answer is C. [tex]0\leq x\leq 55[/tex]