PART 2: PETROL CONSUMPTION VERSUS TRAVEL DISTANCE (OBSERVABLE PATTERN) Ats fignn found that his car can drive \( 12,5 \mathrm{~km} \) for every litre of petrol it consumes. This helas him to be sure that he has enough petrol when driving certain distances die to the nature of his work. The table below represents the car's petrol consumption. The extreme petrol price per litre of R22,50 also impacts Mr. Flynn's travelling. Stuoly the table and answer the questions that follow. TABLE 1: DISTANCE TRAVELLED PER LIUR PETROL CONSUMED 2.1 Descrike the general relationship between litres between of petrol consumed and distance travelled. 2.2 Determine the number of litres of petrol consumed when 12500 metres was travelled. (2) 2.3 How many litres of petrol is consumed to travel \( 37-\mathrm{km} \) ? (2) 2.4 What distance was travelled when 8 litres of petrol was consumed? 2.5 Determine the value of: 2.5.1A \( 2.5 .2 \quad \) B 2.5 .3 c 2.6 Determine the cast of driving 100 km . 2.7 One of Mr. Flynn's trips required him to drive a distance of 97 km to a neighboring town and back. Determine the total cost of petrol? (5)

**2.1 Relationship between Petrol Consumed and Distance Travelled** Since the car drives \(12.5~\mathrm{km}\) per litre of petrol, the distance travelled, \(d\) (in km), is directly proportional to the petrol consumed, \(L\) (in litres). This relation can be written as \[ d=12.5L \] or equivalently, if the distance is known, the petrol consumed is \[ L=\frac{d}{12.5}. \] --- **2.2 Litres Consumed for 12500 Metres** First convert 12500 metres to kilometres: \[ 12500~\mathrm{m} = 12.5~\mathrm{km}. \] Using the relationship, the litres consumed are \[ L=\frac{12.5}{12.5}=1. \] Thus, \(1\) litre of petrol is consumed. --- **2.3 Litres Consumed to Travel \(37~\mathrm{km}\)** Using the relation, \[ L=\frac{d}{12.5}=\frac{37}{12.5}. \] Simplify the fraction: \[ \frac{37}{12.5}=\frac{37}{12.5}=\frac{74}{25}\approx 2.96. \] So, approximately \(2.96\) litres of petrol are consumed. --- **2.4 Distance Travelled with 8 Litres of Petrol** Using the relation, \[ d=12.5\times 8=100~\mathrm{km}. \] So, \(100~\mathrm{km}\) is travelled. --- **2.5 Determine the Values of \(A\), \(B\), and \(C\)** The question asks for the values of - \(A\) (2.5.1), - \(B\) (2.5.2), and - \(C\) (2.5.3). However, without additional information or details from the table (since only the 12.5 km/litre relationship is given), there is insufficient data to separately determine \(A\), \(B\), and \(C\). --- **2.6 Cost of Driving \(100~\mathrm{km}\)** From part 2.4, we determined that \(8\) litres are needed for \(100~\mathrm{km}\). With the petrol price at R22.50 per litre, the cost is calculated as \[ \text{Cost}=8\times22.50=180.00. \] Thus, the cost is R180.00. --- **2.7 Cost of a Round Trip of \(97~\mathrm{km}\) Each Way** First, compute the total distance for the trip: \[ \text{Total distance}=97+97=194~\mathrm{km}. \] The petrol consumed is \[ L=\frac{194}{12.5}=15.52\text{ litres} \quad (\text{exactly } \frac{194}{12.5}\text{ litres}). \] The total cost is then \[ \text{Cost}=15.52\times22.50\approx349.20. \] Thus, the cost of petrol for the round trip is approximately R349.20.