4MA0 Foundation June 2014 Paper 1 Q23
23
(a) On the grid, draw the line with equation \(x + 2y = 8\) for values of \(x\) from 0 to 9 (2)
(b) Show, by shading on the grid, the region defined by all three inequalities
\(x + 2y \leqslant 8\)
\(x \geqslant 2\)
\(y \geqslant 1\)
Label your region R. (3)\(x \geqslant 2\)
\(y \geqslant 1\)
| Scheme | Marks |
|---|---|
| Correct line drawn | B2 |
| (2) |
Notes
B2: Must be a single straight line passing through at least 3 of (0,4) (2,3) (4,2) (6,1) (8,0) (10,-1)
If not B2 then B1 for a single straight line with a negative gradient passing through either (0,4 ) or (8,0) or at least 3 of (0,4) (2,3) (4,2) (6,1) (8,0) (10,-1) plotted or calculated
| Scheme | Marks |
|---|---|
| \(x = 2\) drawn | B1 |
| \(y = 1\) drawn | B1 |
| Correct region identified | B1 |
| (3) | |
| (5 marks) |
Notes
B1: Ignore extra lines
Accept R shaded or Rʹ shaded. Condone omission of label