Agraphing calculator is recommended. a bacteria culture starts with 100 bacteria and doubles in size every half hour. (a) how many bacteria are there after 3 hours? bacteria (b) how many bacteria are there after t hours? y = bacteria

a) 800

b)

Step-by-step explanation:

The exponential growth function is represented by :-

, where A is initial value , b is the multiplicative rate of change and t is the time period.

Given : A bacteria culture starts with 100 bacteria and doubles in size every half hour.

i.e. A = 100 and b=2

Then, the exponential growth function to find the number of bacteris after t hours :_

At x=3

Hence, the there are 800 bacteria after 3 hours.

b

step-by-step explanation:

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5