Compute function which models number of bacteria, Mathematics

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Compute function which models number of bacteria

The count in the culture of bacteria was 400 after 2 hours and 25,600 after six hours.

a. Determine relative growth rate of bacteria population? Express the answer as the percentage.
b. Determine the initial size of the culture?
c. Compute the function which models number of bacteria n(t) after t hours.
d. Determine number of bacteria after 4.5 hours
c. When will number of bacteria be 50,000?

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