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

From the seating diagram, the Business Class seats are 26 and the Economy Class seats total 80. Therefore, the simplified ratio is given as 26:80, which reduces to 13:40.

The passenger in seat 2K should first rise from their seat and turn left, walking down the aisle towards the galley. After passing the galley, the passenger should turn right at the next aisle and walk towards the front of the aircraft. Upon walking straight down this aisle, they will approach seat 38B, which will come into view previously on their right hand side.

To find the probability that a passenger did not have an aisle seat, we use the formula:

$P = \left( 1 - \frac{ \text{number of aisle seats}}{ \text{total number of seats}} \right) \times 100$

In this case, there are 26 aisle seats in 80 total seats, hence the calculation results in:

$P = \left( 1 - \frac{ 26 }{ 80 } \right) \times 100 = 67.5 \%$

One reason why the price of a First Class aeroplane ticket is significantly higher than that of an Economy Class ticket is due to the increased comfort offered in First Class, including spacious seating arrangements, priority boarding, and enhanced on-board services.

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

$522,086 \text{ km}$

The total time taken for the flight is from 17:14 to 04:11 the next day, which is 11 hours 57 minutes, or approximately 11.95 hours.

Using the formula:

$\text{Average speed} = \frac{\text{Distance}}{\text{Time}}$

The average speed in km/h:

$\text{Average speed} = \frac{522,086 \text{ km}}{11.95 \text{ h}} \approx 43,701 \text{ km/h}$

To convert km/h to knots:

$1 \text{ knot} = 1.852 \text{ km/h}$

Thus, the average speed in knots will be approximately:

$\frac{43,701}{1.852} \approx 23,611 \text{ knots}$

From the given production cost formula:

Total production cost = 27,000 + 75 x number of belts

For 100 belts, plugging in we find B:

$B = 27,000 + 75 \times 800 = 87,000$

For C, substituting:

$C = 250 \times 400 = 100,000$.

Total income from selling belts:

$800 \times 250 = 200,000$

Total income from T-shirts:

$1,000 \times 175 = 175,000$

Total income = 200,000 + 175,000 = 375,000 $.

To graph the production cost of T-shirts, we create a new line on the same axis representing the cost at various quantities, which can be derived from the given costs. The cost line begins at the start-up cost and continues upward based on the rate of production.