17 3 Growing the Raw Materials As the gate opens, you step into a room that appears to aboratory of some kind. Your computer informs you that this is where the raw materials that power the grown! !"What do you mean, grown?", you ask. Your computer explains that a special bacteria his laboratory and converted into fuel. A specific amount of bacteria must be present for he process to work (within a reasonable margin of error) The computer provides you with about the population of the bacteria, which follow an exponential model, shown below In this model. population of bacteria (total count, measured in millions) and & is the time measured in pulation will grow based on this model once a light source is provided and stop immediately oncell telis removed! P(t) = Tet/2 Your computer continues with a note from en civilization performed these calculations on the linearization of P (t) Therefore youll () and then use that model to determine when to remove the light source to have Th linearization should be around t = 0, since this is the time when the light source lis sw Using this linearization after how free decimal places) will you turn off the light to generate a population of 7.238 238 million bacter t= Number it minutes