Question

The number of yeast cells in a laboratory culture increases rapidly at first but levels off eventually. The population is modeled by the function below, where t is measured in hours. At time t = 0 the population is cells and is increasing at a rate of cells/hour.

`n=f(t)=a/(1+b e^(-0.6t))`

  1. Find the values of a and b.

    a =

    b =

  2. According to this model, at what number of cell does the yeast population stabilize in the long run?

    cells.