Mathematics 0580 · IGCSE · Graphs in practical situations
Graphs in practical situations — practice question
Ali is buying $x$ rose bushes and $y$ lavender bushes. He buys: no fewer than 5 rose bushes; no more than 8 lavender bushes; no more than 15 bushes altogether; and a greater number of lavender bushes than rose bushes.
(a(i))[4]
Write four inequalities, in terms of $x$ and/or $y$, that represent the information shown.
(a(ii))[5]
On the grid, illustrate the information in part (a)(i) by drawing four straight lines. Label the region $R$ in which all four inequalities hold true.
(b)[2]
What is the largest amount of money Ali could spend?
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Hence $x\ge5$” …