Bacteria multiply by division. One bacterium becomes two. Then two divide into four; the four divide into eight, and so on$.$ For a certain strain of bacteria, the time for this division process is one minute $($the doubling time$).$ If you put one bacterium in a bottle at $11$:$00$ pm$,$ by midnight the entire bottle will be full. $1.$ At what time will the bottle be half full? $11$:$59$p$.$m$.2.$ Suppose you could be a bacterium in this bottle. At what time would you first realize that you were running out of space? Explain your response. As a bacteria you will realize you are running out of space when the bottle is half full because that is when the available space will start running out of space and start to decrease. Though this is a debate because depending on your perspective of $$running out of space.$$ Some may claim $3/4$th full. At $11$:$58$p$.$m$.$ might be the time bacteria start realizing they are running out of space.