state the population of rabbits on the island on 1 January 2016;
10
(ii) predict the population of rabbits on 1 January 2021.
10
Use David's model to find the value of \(t\) when \(R = 150\), giving your answer to three significant figures. [0pt]
[2 marks]
10
Give one reason why David's model may not be appropriate. [0pt]
[1 mark]
10
On the same island, the population of crickets, \(C\), can be modelled by the formula
$$C = 1000 \mathrm { e } ^ { 0.1 t }$$
where \(t\) is the time in years after 1 January 2016.
Using the two models, find the year during which the population of rabbits first exceeds the population of crickets. [0pt]
[3 marks]