O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2017 · Q254 Marks
In the diagram, the equation of the line AC is 7x + 5y = 35.
- (a)Write down the three inequalities that define the region inside triangle ABC.[2]
- (b)The line y = kx, where k is an integer, passes through triangle ABC. Find the greatest possible value of k.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [2] 25(a) 7x + 5y > 35 oe and x < 4 oe and y < 5 oe
- C1 for two inequalities correct;
- or for x ... 4 and y ... 5 (with "..." ≠ "<").
- [2] 25(b) 3 nfww
- B1 for x-coord. of A is 10/7 oe;
- or for eqn. of OA is y = 7/2 x oe
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