O-LevelMathematicsVectors and transformations4024/21 · May/June 2023 · Q97 Marks
The Bukhari family and the Garcia family are going on holiday. In the Bukhari family there are 2 adults and 3 children. In the Garcia family there are 4 adults and 1 child.
- (a)Complete matrix M to represent this information. M = [Adults Children; Bukhari Garcia][1]
- (b)(i)The cost of a flight for each adult is $x and the cost of a flight for each child is $y. The matrix N = [x; y] shows this information. The matrix P = MN = [525; 575]. Using an algebraic method, find the value of x and the value of y. Show your working.[5]
- (b)(ii)Explain what each element in P represents.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- [1] (a) M = [[2, 3], [4, 1]]
- [2] (b)(i) 2x + 3y = 525 4x + y = 575 B2 FT their (a) B1FT for either
- [1] (b)(i) Correct method to eliminate one variable M1
- [2] (b)(i) x = 120 y = 95 A2 A1 for either x = 120 or y = 95 nfww After 0 scored SC1 for x = 120 and y = 95
- [1] (b)(ii) Cost of flights for Bukhari family and cost of flights for Garcia family oe
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