Higher November 2019 Paper 2 Q22
22 The number of rabbits on a farm at the end of month \(n\) is \(P_n\)
The number of rabbits at the end of the next month is given by \(P_{n+1} = 1.2P_n - 50\)
At the end of March there are 200 rabbits on the farm.
(a) Work out how many rabbits there will be on the farm at the end of June. (3)
(b) Considering your results in part (a), suggest what will happen to the number of rabbits on the farm after a long time. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 163 or 164 | P1 | uses formula eg \(1.2 \times 200 - 50\ (= 190)\) |
| P1 | for complete process, eg May: \(1.2 \times \text{``}190\text{''} - 50\ (= 178)\) and June: \(1.2 \times \text{``}178\text{''} - 50\ (= 163.6)\) | |
| A1 | for 163 or 164 |
| Answer | Mark | Mark scheme |
|---|---|---|
| Statement | C1 | (dep P1) ft statement, eg there won’t be any rabbits, fewer rabbits, decrease |