The Technical Mathematics P1 Grade 12 September was written on Friday, 23 August 2019. We were made aware of certain amendments and omissions that were discovered during the marking process.
In order to address this and to ensure that learners are not disadvantaged, the following standardised approach to marking must be adopted across the Province. The following guidelines with regard to marking was prepared in conjunction with the examiner and moderator.
QUESTION 9
The driver of a motor car fills the petrol tank of his car to full capacity in a petrol station, to undertake a journey that requires a minimum of 25 ℓ of fuel to drive.
Unfortunately, he knocks his car on the corner of the road pavement as he leaves the petrol station resulting into a leakage from an opening in his petrol tank.
The picture below shows the damaged petrol tank of the car.
The equation, V(t) = t2 - 9t + 35 represents the amount of petrol lost over time in minutes t . ( )
Determine:
9.1 The amount of petrol in the tank before the leakage (2)
9.2 The amount of petrol that leaked out after 1 minute (2)
9.3 The time it took for maximum petrol to leak out of the tank (3)
9.4 The maximum amount of petrol that leaked (2) [9]
The original marking guideline:
QUESTION 9 | |||
9.1 | V(t) = t2 - 9t + 35 V(0) = (0)2 - 9(0) + 35 = 35L | √substitution √V(0) = 35L | (2) |
9.2 | v(1) = t2 - 9t + 35 v(1) = (1)2 - 9(1) + 35 = 27L | √ substitution √ v(1) = 27L | (2) |
9.3 | v(t) = t2 - 9t + 35 v1(t) = 2t - 9 v1(t) = 2t - 9 = 0 t = 9/2 | √ v1(1) | (3) |
9.4 | maximum amount of fuel leaked | √ substitution √ V = 14,75L | (2) |
[9] |
The statement is ambiguous; there are different interpretations of the statement given. The equation given has a minimum value, therefore to ask for the maximum petrol lost is not a possible option which makes Q.9.3 and Q.9.4 not valid. The recommendation is that QUESTION 9 should not be marked; thus the question paper total will be 141 marks when marking.