Question

A scientist counts 60 bacteria present in a culture and finds that the number of bacteria quadruples each hour. Which of the following analytical models illustrates thissituation?

Answer 1

Let:

a = initial number of bacteria

x = number of hours

b = growth constant

so, the model which illustrates this situation is an exponential function of the form:

$\begin{gathered} a\cdot b^x \\ where \\ a=60 \\ b=4 \\ so\colon \\ 60\cdot(4)^x \end{gathered}$