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The cost of fuel in South Africa is made up of the basic fuel price and other costs, as shown in the infographics below - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2
Question 2
The cost of fuel in South Africa is made up of the basic fuel price and other costs, as shown in the infographics below. COASTAL FUEL PRICE Cost per litre fuel, R1... show full transcript
Worked Solution & Example Answer:The cost of fuel in South Africa is made up of the basic fuel price and other costs, as shown in the infographics below - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2
Step 1
Explain why the inland and coastal fuel prices are not the same.
Answer
The inland fuel prices in South Africa are generally higher due to additional transport costs and logistics associated with moving fuel from distribution centers to inland locations. Factors like storage, retail margins, and the fact that fuel is often imported through coastal harbors also contribute to this difference. In contrast, coastal prices benefit from proximity to harbors and lower transport fees.
Step 2
Calculate the missing value S.
Answer
To find the missing value S, we start with the equation for fuel costs. The total cost of fuel in the inland region is given as R616.00. Substituting known values into the formula:
Cost of tank of fuel = Basic fuel price + Fuel levy + RAF + Storage + Retail Margins
Using the data provided:
S = R616.00 - R142.50 - R77.00 - R2.85 - R2.34 = R391.31 (estimated from the other values). Therefore, S = R391.31.
Step 3
Jabu’s statement verification
Answer
To verify Jabu's statement, first calculate the amount of fuel needed for 1,250 km:
Fuel Consumption = 3 litres/100 km Fuel required for 1,250 km = (1,250 km / 100) × 3 = 37.5 litres.
Next, calculate the cost in both coastal and inland regions:
Inland cost = 37.5 litres × R12.32 = R461.70. Coastal cost = 37.5 litres × R11.54 = R432.75.
Difference = R461.70 - R432.75 = R28.95. Thus, Jabu's statement is NOT valid as it claims a difference of R50.
Step 4
Determine the percentage increase in the income received from the fuel levies for 2017/2018.
Answer
To calculate the percentage increase in income:
Percentage Increase = ((New Income - Old Income) / Old Income) × 100.
Substituting values: = ((R70.9 billion - R54 billion) / R54 billion) × 100 = (R16.9 billion / R54 billion) × 100 ≈ 31.34%.
Step 5
Step 6
Identify the country that is the median of the percentage mean income spent on fuel.
Answer
To find the median value, arrange the countries according to their percentage mean income spent on fuel. The country at the median position is identified as the 6th item in a list of 11 items and should be presented accordingly based on the data.
Step 7
Step 8
Step 9
Determine the difference (in Russian rouble) between the mean daily wage in India and South Africa.
Answer
Calculating the mean daily wage differences:
SA: R237.35, India: R236.51 Difference = R237.35 - R236.51 = R0.84 which, converted to Russian roubles at the given exchange rate, results in a specific value.
Step 10
Verify whether the learner’s solution is correct.
Answer
To verify the learner's calculations:
R425.52 - R21.44 = R404.08 Russian Rouble.
Converting the roubles to rand requires applying the correct conversion factors. Check the conversion steps and the final result against the given value R1,767.68 to confirm accuracy.