The relative growth rate of a certain bacteria colony is 20%. Suppose there are 15 bacteria initially. Use the exponential growth model $P(t) = P0 e^{kt}$ to answer the following.a) Find a function that describes the population of bacteria after t hours.b) How many bacteria should be expected after 2 days?a) P(t) =b) After 2 days, bacteria are expected.(Round to the nearest whole number as needed.)
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