A scientist is growing bacteria in her lab. She finds that the number of bacteria per microliter in her sample can be described by the following function:
f ( t ) = 300 + 150 t 2
Here, t is measured in hours after the start of the experiment.
What is the average growth rate of her sample between hours 20 and 22 of her experiment?
What is the growth rate of her sample at hour 22 of her experiment?
At what rate is the growth rate changing at this time?
If you could explain how you got your answers, that would be great.