The number of bacteria in a container increases at the rate of R(t) bacteria per hour. If there are 1000 bacteria at time t=0 , which of the following expressions gives the number of bacteria in the container at time t=3 hours?


The number of bacteria will modeled using exponential growth function, this is given by: f(x)=a(b)^x where a is the initial amount b=ratio of growth x=time Thus from our information we shall have: f(x)=R(t) a=1000 b=r t=x hence we shall model the situation by: R(x)=1000(r)^t Hence in 3 years time the population will be modeled by the function: R(x)=1000(r)^3=1000r³

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