Higher January 2020 Paper 1 Q16
16 \(P = \dfrac{2a - c}{d}\)
\(a = 58.4\) correct to 3 significant figures.
\(c = 20\) correct to 2 significant figures.
\(d = 3.6\) correct to 2 significant figures.
Work out the upper bound for the value of \(P\).
Show your working clearly.
Give your answer correct to 2 decimal places.
(3)
| Scheme | Marks |
|---|---|
| 58.35 or 58.45 or 19.5 or 20.5 or 3.55 or 3.65 | B1 |
| \(\dfrac{2 \times 58.45 - 19.5}{3.55}\) (= 27.4366...) | M1 |
| 27.44 | A1 |
| (3) | |
| (3 marks) |
Notes
B1: for any correct bound
Accept \(58.44\dot{9}\) for 58.45 or
\(20.4\dot{9}\) for 20.5 or
\(3.64\dot{9}\) for 3.65
M1: for correct substitution into
\(\dfrac{2 \times a_{UB} - c_{LB}}{d_{LB}}\)
where
\(58.4 \lt a_{UB} \leqslant 58.45\) and
\(19.5 \leqslant c_{LB} \lt 20\) and
\(3.55 \leqslant d_{LB} \lt 3.6\)
A1: from correct working
allow 27.4 – 27.5