Question

The number of bacteria P (t) In a certain population increases according to the following function, where time t is measured in hours.P(t)=2800e^0.08tFind the initial number of bacteria in the population and the number of bacteria after 8 hours.Round your answers to the nearest whole number as necessary.Initial number: Number after 8 hours:

Answer 1

initial number

`P(0)=2800e^(0.08(0))=2800\cdot1=2800`

number after 8 hours

`P(8)=2800e^(0.08\cdot8)=2800\cdot1.896=5309`

answer:

1. 2800

2. 5309