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Assume that the number of bacteria follows an exponential growth model: ()=0P(t)=P0ekt. The count in the bacteria culture was 400 after 10 minutes and 1300

Assume that the number of bacteria follows an exponential growth model: ()=0P(t)=P0ekt. The count in the bacteria culture was 400 after 10 minutes and 1300 after 35 minutes.

(a) What was the initial size of the culture?

= 249.751

(b) Find the population after 80 minutes.

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