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:

1696 hundred thousand

step-by-step explanation:

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s