Algebra, STD2 EQ-Bank 24

It is known that a quantity \(N\) varies directly with another quantity \(Q\).

The relationship can be modelled by the equation \(N= k \times Q\), where \(k\) is a constant.

If \(N = 18\) when \(Q=4:\)

Show the value of \(k=4.5\). (1 mark)

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Hence find the value of \(Q\) when \(N=63\). (1 mark)

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a. \(\text{Using}\ \ N=k \times Q:\)

\(18= k \times 4\ \ \Rightarrow\ \ k=\dfrac{18}{4}=4.5\)

b. \(Q=14\)

Show Worked Solution

a. \(\text{Using}\ \ N=k \times Q:\)

\(18= k \times 4\ \ \Rightarrow\ \ k=\dfrac{18}{4}=4.5\)

b. \(\text{Find}\ Q\ \text{when}\ \ N=63:\)

\(63\)	\(=4.5 \times Q\)
\(Q\)	\(=\dfrac{63}{4.5}=14\)