I know how to figure this question out if there is a ending amount of hours (such as how many bacteria will be there at the end of 8 hours), but when there is a floor function thrown in there I have no clue how to solve this or where to start. Any help would be appreciated.

The floor function denoted [x], outputs the greatest integer less than or equal to x. So, [7.3]=7, [27]=27, and [-3.5]=-4. A certain strain of bacteria that is growing on your kitchen counter doubles every 5 minutes. Assume that you start with only one bacterium.

a) What quantities are changing in this situation? What quantities are not changing?

b) Use the floor function to define a function that gives the number of bacteria present after t minutes.

c) Represent the number of bacteria present after 30 minutes? How many bacteria are there?

d) How many bacteria are present after 2 minutes? 5 minutes? 14.75 minutes? 23.22 minutes? 47.92 minutes?

e) Determine the approximate number of minutes for the number of bacteria to reach 2000.