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NSW Y8 Maths

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Pythagoras Working with Numbers Algebra Equations Geometry Area and Perimeter Volume Fractions and Percentages Investigating Data Congruent Figures Probability Rates and Ratios Graphing Linear Equations Time and Travel

NSW Y8 Maths Rates and Ratios Rates

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Rates Theory

\begin{multicols}{2} \textbf{Example 1}\\ Express \$35 for \(5 \text{~kg}\) in its simplest form.\\ \textbf{Example 1 solution}\\ \(\begin{aligned} \frac{\$ 35}{5 \text{~kg}} & =\frac{\$ 7}{1 \text{~kg}} \\ & =\$ 7 / \text{kg} . \end{aligned}\) \columnbreak \textbf{Example 2}\\ A tree grew 28 metres in 175 years. Calculate its growth rate in cm/ year.\\ \textbf{Example 2 solution}\\ \(\begin{aligned} \text { Growth rate } & =\frac{28 \times 100 \text{~cm}}{175 \text { years }} \\ & =\frac{28 \times 100 \text{~cm}}{7 \times 25 \text { years }} \\ & =4 \times 4 \text{~cm} / \text { year } \\ & =16 \text{~cm} / \text { year } . \end{aligned}\) \end{multicols}

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