Higher January 2019 Paper 2 Q18
18 \(P = \dfrac{a}{m - x}\)
\(x = 8\) correct to 1 significant figure
\(a = 4.6\) correct to 2 significant figures
\(m = 20\) correct to the nearest 10
Calculate the lower bound of \(P\).
Show your working clearly.
(4)
| Scheme | Marks |
|---|---|
| 7.5 or 8.5 or 4.65 or 4.55 | M1 |
| 25 or 15 | M1 |
| \(\dfrac{4.55}{25 - 7.5}\) | M1 |
| 0.26 oe | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for \(\dfrac{\mathrm{LB}_1}{\mathrm{UB} - \mathrm{LB}_2}\) with \(4.55 \leqslant \mathrm{LB}_1 \lt 4.6\) and \(20 \lt \mathrm{UB} \leqslant 25\) and \(7.5 \leqslant \mathrm{LB}_2 \lt 8\)
A1: for 0.26 from correct working