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1 of 8 0-day streak

Inverse variation: find the constant and missing values

Question 1 of 8

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The variables \(u\) and \(v\) have the following variation relationship

\[v \propto \frac{1}{u}\]

A known pair is \((1, 2.5)\) in the \((u,v)\) order

u\(1\)\(10\)\(50\)?
v\(2.5\)\(0.25\)?\(\frac{1}{40}\)
(a)1 mark

Use the stated known pair to determine \(k\)

Format: Exact value
(b)2 marks

Find each missing value, working forwards or backwards as required