Pablo, a Mexican student, is studying in the United Kingdom (UK) - NSC Mathematical Literacy - Question 3 - 2016 - Paper 2

Based on the seating plan, there are 26 Business Class seats and 80 Economy Class seats. The simplified ratio is calculated as:

$\text{Ratio} = \frac{26}{80} = \frac{13}{40}$

The passenger should first get up and turn left, walking down the aisle to the galley/kitchen. Then turn right and walk to the next aisle/past the galleys. From here, they head straight down until reaching row 38 and go to their right-hand side to find seat 38B.

According to the seating plan, there are 26 Business Class seats. Thus, the total number of Business Class passengers is 26.

To find the probability, first calculate the total number of seats. In this case, there are 26 Business Class and 80 Economy Plus seats, totaling 106 seats. Assume there are 4 aisle seats in Business Class and 10 aisle seats in Economy. Hence, passengers not having aisle seats are:

Total seats - Aisle seats = 106 - (4 + 10) = 92.

The probability will then be:

$P = \left( \frac{92}{106} \right) \times 100 \approx 86.79\%$

To calculate the average speed, we first need to convert the distance:

$522,086 \text{ km} = 8402 \text{ km}$

Then we find the time taken for the flight:

24 hours - (17:14 to 04:11) = 10.95 hours.

Now we compute the speed using the formula:

$\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{8402 \text{ km}}{10.95 \text{ hrs}} \approx 767.31 \text{ km/h}$

Converting km/h to knots:

$\text{Speed in knots} = \frac{767.31}{1.852} \approx 414.31 \text{ knots}$

Using the given production cost formula:

1. B: Calculate for 800 belts: $27,000 + 75 \times 800 = 87,000$

2. C: Total income for 400 belts: $250 \times 400 = 100,000$

3. A: Total income if WBC sells 800 belts and 1,000 T-shirts: $250 \times 800 + 175 \times 1000 = 375,000$

To represent the production cost for T-shirts on the graph you drew previously, the production cost for T-shirts is $1 per T-shirt. This should be a straight line starting from the origin (0, 0) and extending to (1000, 1000) with points drawn at increments corresponding to the number of T-shirts produced.

The profit made from selling T-shirts can be calculated as:

$\text{Profit} = \text{Income} - \text{Cost}$

For 600 T-shirts:

$\text{Income} = 600 \times 175 = 105,000$ $\text{Cost} = 600 \times 1 = 600$

Thus,

$\text{Profit} = 105,000 - 600 = 104,400$

This would need to be indicated on the graph as a vertical line at the point where the profit is calculated.