Algebra, STD2 EQ-Bank 25

Two quantities, \(M\) and \(t\), have a relationship such that \(M\) varies directly with \(t\) and \(M=2.4\) when \(t=8\).

Find the value of \(t\) when \(M=5.1\). (2 marks)

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\(t=17\)

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\(M \propto t \ \ \Rightarrow \ \ M=kt\)

\(\text{Given} \ \ M=2.4 \ \ \text{when} \ \ t=8:\)

\(2.4=8k \ \ \Rightarrow \ \ k=\dfrac{2.4}{8}=0.3\)

\(\text{When} \ \ M=5.1:\)

\(5.1\)	\(=0.3 \times t\)
\(t\)	\(=\dfrac{5.1}{0.3}=17\)