O-LevelMathematicsVectors and transformations4024/12 · May/June 2018 · Q153 Marks
During two weeks, a shopkeeper records the number of packets of two different types of tea he sells and the profit he makes from them. Week 1 : Type A tea, 30 packets sold, profit of $1.20 on each packet Type B tea, 20 packets sold, profit of $2 on each packet Week 2 : Type A tea, 40 packets sold, loss of $0.50 on each packet Type B tea, 30 packets sold, profit of $3 on each packet This information can be represented by these matrices. (30 20) (40 30) (1.2 / 2) (-0.5 / 3)
- (a)Work out (30 20) (1.2 / 2) - (40 30) (-0.5 / 3).[2]
- (b)Explain the meaning of your answer to part (a).[1]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [1] B1 for 76 seen or for 70 seen or M1 for (30×1.2+20×2)-(40×-0.5+30×3) oe
- [1] (6) nfww
- [1] Difference in profit between Week 1 and Week 2 oe
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