Suppose that bacteria growth is modelled by the DE given in the notes. Suppose that the number of bacteria is observed to double after 6 days, and the estimated carrying capacity is

8 times the initial population. What is the estimated population, as a multiple of the initial population, after 23 days?

(For example an answer of 3.5 would indicate a population 3.5 times the initial population).

Give the answer accurate to 2 decimal places.