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