The number of bacteria in a sample increased by a factor of 1.02 every minute from the time shown in the graph. The function shows the number of bacteria in the sample f(x) after x minutes from 9:05 a. m:

f(x) = 10(1.02)x

exponential graph showing Time in Minutes on the x axis and Number of Bacteria on the y axis going through zero comma ten and approximately fifty comma twenty seven

Which of the following is a reasonable domain for the function from 9:05 to 9:55 am?

Question:

The number of bacteria in a sample increased by a factor of 1.02 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

The correct answer is option C 0 ≤ x ≤ 50

Step-by-step explanation:

We have been given number of bacteria in a sample increased by a factor of 1.02

We have a function

f(x) = 10(1.02)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 ≤ x ≤ 50

Therefore, Option c is correct.

The answer is option C 0 ≤ x ≤ 50

Step-by-step explanation:

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (