Across one week, Neha spends $x$ hours cooking and $y$ hours cleaning. The time she spends cleaning is at least as much as the time she spends cooking. This may be written as $y \ge x$. In total, she spends no more than 16 hours cooking and cleaning. She spends at least 4 hours cooking.
(a)[2]
Write down two further inequalities involving $x$ and/or $y$ to represent this information.
(b)[3]
Complete the diagram so that the three inequalities are shown. Shade the regions that are not wanted.
(c)[2]
Work out the greatest amount she could receive.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$x+y\le16$” …