NSC Mathematical Literacy Using a calculator: 2.1 Explain why the inland and c

Question

2.1 Explain why the inland and coastal fuel prices are not the same.

Inland fuel prices may be higher due to several factors such as:
1. Increased transportation costs associated with delivering fuel to inland areas.
2. Import-related costs, as some fuel is imported via harbors, affecting pricing structures.
3. Regional storage costs that could differ, impacting overall pricing.

Additional aspects like taxes or levies can also contribute to differences in pricing, making inland prices higher than coastal prices.

2.1.2 Calculate the missing value S.

Using the formula for the cost per litre, we denote:
Cost of tank = Number of litres × Cost per litre

Here, let the Number of litres be denoted by L. For the inland fuel price:

given:
Cost of tank = R616.00,
Cost per litre = R142.50,
Storage and other costs = R77.00, 
and Fuel Levy = R2.85.

Thus, S can be calculated as follows:
R616.00 = L × R142.50.

Finding L:
L = R616.00 / R142.50
L = 4.32 litres.

When calculating S:
S = R142.50 - R77.00 - R2.85 = R62.65

2.1.3 Jabu's vehicle has an average fuel consumption of 3.7 litres per 100 km.

He drove 1,250 km in an inland region. Therefore:
Fuel consumed = (Distance driven / 100) × Fuel consumption per 100 km
= (1250 / 100) × 3.7
= 37 litres.

Verification:
Cost for fuel for this trip = 37 litres × R142.50/litre = R5,287.50.

2.2 In his 2017/2018 budget speech the Minister of Finance announced an increase in fuel levies and stated that the projected income from the fuel levies would be R70.9 billion. The income from the fuel levies for 2016/2017 was R54 billion.

2.2.1 Determine the percentage increase in the income received from the fuel levies for 2017/2018.

Percentage Increase = ((New Value - Old Value) / Old Value) × 100
= ((R70.9 billion - R54 billion) / R54 billion) × 100
= ((R16.9 billion / R54 billion) × 100)
= 31.26%.

2.2.2 Calculate (to the nearest billion rand) the total national budgeted income for the financial year 2017/2018 as the ratio of the total levies to their income received is R 118.

Total Budgeted Income = R70.9 billion divided by R 118 x 125 = R266 billion

2.3 TABLE 4 in ANNEXURE C shows the ranking for a sample of 11 countries according to: Mean fuel price per gallon in Russian rouble, Affordability of a gallon of fuel as a percentage of the mean daily wage in each country, and Percentage mean income spent on fuel.

2.3.1 Identify the country that is the median of the percentage mean income spent on fuel.

2.3.2 Determine the interquartile range of the mean income spent on fuel.

2.3.3 Give ONE valid reason why the sample is considered unbiased with respect to the percentage mean income spent on fuel.

2.3.4 Determine the difference (in Russian rouble) between the mean daily wage in India and South Africa.

2.3.5 A learner's solution for calculating the range (in rand per gallon) of the mean fuel prices is shown below.

2.3.5 Learner’s solution
R425.52 - R21.44 
404.40R Russian rouble
404.00R Russian rouble = 404.00 * 0.016 Euro = 25.255 euro = R1 767.68

Verification, showing ALL calculations, whether the learner's solution is correct.

2.1 Explain why the inland and coastal fuel prices are not the same - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2

Worked Solution & Example Answer:2.1 Explain why the inland and coastal fuel prices are not the same - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2

Explain why the inland and coastal fuel prices are not the same.

Calculate the missing value S.

Jabu's vehicle has an average fuel consumption of 3.7 litres per 100 km.

Determine the percentage increase in the income received from the fuel levies for 2017/2018.

Calculate (to the nearest billion rand) the total national budgeted income for the financial year 2017/2018.

Identify the country that is the median of the percentage mean income spent on fuel.

Determine the interquartile range of the mean income spent on fuel.

Give ONE valid reason why the sample is considered unbiased with respect to the percentage mean income spent on fuel.

Determine the difference (in Russian rouble) between the mean daily wage in India and South Africa.

Verification, showing ALL calculations, whether the learner's solution is correct.

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