Science:Math Exam Resources/Courses/MATH110/December 2014/Question 08 (c)/Statement

Assume that the number of bacteria at time $t$ (in minutes) follows an exponential growth model $P (t) = C e^{k t}$ , where $C$ and $k$ are constant. Suppose the count in the bacteria culture was 300 after 15 minutes and 1800 after 40 minutes. You may leave your answers unsimplified, i.e. in "calculator-ready" form.

(c) When will the culture contain 3000 bacteria?