A culture started with 1,000 bacteria. After 3 hours, it grew to 1,100 bacteria. Predict how many bacteria will be present after 17 hours?

Respuesta :

toporc
The general equation for exponential growth can be written as:
[tex] x_{t} = x_{0} (1+r)^{t}[/tex]
where r is the growth rate.
Plugging in the given values, we get:
[tex]1100=1000(1+r)^{3}[/tex]
Therefore
[tex](1+r)^{3}=1.1[/tex]
giving
[tex]1+r= \sqrt[3]{1.1} =1.0323[/tex]
The predicted number of bacteria after 17 hours is given by:
[tex]1000(1.0323)^{17}=1716[/tex]
ACCESS MORE
EDU ACCESS