4400 Higher November 2004 Paper 4 Q16

EdexcelHigherOld spec5 marksDirect & Inverse Proportion

16 Kate is going to mark some examination papers.
When she marks for \(n\) hours each day, she takes \(d\) days to mark the papers.
\(d\) is inversely proportional to \(n\).
When \(n = 9\), \(d = 15\)

(a) Find a formula for \(d\) in terms of \(n\). (3)

(b) Kate marks for \(7\frac{1}{2}\) hours each day.
Calculate the number of days she takes to mark the papers. (2)

Scheme	Marks
\(d = \dfrac{k}{n}\) or \(d \propto \dfrac{1}{n}\)	M1
\(15 = \dfrac{k}{9}\)	M1
\(\dfrac{135}{n}\)	A1
	(3)

Scheme	Marks
\(\dfrac{135}{7.5}\)	M1
18	A1
	(2)
	(5 marks)

Notes