1.9: Exponential population model (repeat)

0606/13/M/J/18 — Question 5 · 6 marks · Exponentials, Population models

Identical to Question 1.1 — the same question appeared on paper 13.

The population,

P

, of a certain bacterium

t

days after the start of an experiment is modelled by

P = 800e^{kt}

, where

k

is a constant.

(i)

State what the figure

800

represents in this experiment.

[1]

(ii)

Given that the population is

20\,000

two days after the start of the experiment, calculate the value of

k

[3]

(iii)

Calculate the population three days after the start of the experiment.

[2]