Question: We found that if a rat initially has 10,000 Salmonella bacteria, then the projected number of bacteria in t hours can be approximated by y(t)

We found that if a rat initially has 10,000 Salmonella bacteria, then the projected number of bacteria in t hours can be approximated by y(t) = 10,000(1.149)t.

Find and interpret the instantaneous rate of change in the projected number of bacteria at each of the following times.

(a) After 2 hours 

(b) After 4 hours 

(c) After 10 hours

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