5 The number of bacteria in a culture is given by the functi

5. The number of bacteria in a culture is given by the function n) 500e45, where t is measured in hours. a. What is the initial population of the culture? b. How many bacteria will the culture contain after 5 hours?

Solution

Given

n(t) = 500*e^0.45t

a)   Initial population = 500

b) Here t = 5 hours, then

n(t) = 500*e^0.45*5 = 4743.9