Answer :
### Step-by-Step Solution
#### Question 1.1.1:
Determine the aircraft operator whose average daily flights increased the most since 2019.
To identify the aircraft operator with the highest increase in average daily flights, we need to look at the percentage change from 2019 to 2022 for each operator.
From the table:
- Ryanair Group: +9%
- Easy Jet Group: -20%
- Turkish Airlines: -7%
- Lufthansa Airlines: -29%
- Air France Group: -21%
- KLM Group: -18%
- Wizz Air Group: +13%
- British Airways Group: -30%
- Vueling: -10%
- SAS Group: -35%
The operator with the highest positive percentage change is Wizz Air Group with an increase of 13%.
Answer: Wizz Air Group
#### Question 1.1.2:
France operated 4290 average daily flights in 2019. Determine the missing value [tex]\(A\)[/tex], rounded to the nearest whole number.
To determine [tex]\(A\)[/tex] (the percentage change in average daily flights for France), we will use the provided data. We know the number of flights in 2022 (3763) and the number of flights in 2019 (4290).
The percentage change formula is:
[tex]\[ \text{Percentage change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage change} = \left( \frac{3763 - 4290}{4290} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage change} = \left( \frac{-527}{4290} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage change} = -0.1228 \times 100 \][/tex]
[tex]\[ \text{Percentage change} = -12.28\% \][/tex]
Thus, the percentage change in French flights is approximately -12.28%. Converting this percentage to a decimal for calculating [tex]\(A\)[/tex]:
[tex]\[ A = 4290 \times (1 - 0.1228) \][/tex]
[tex]\[ A = 4290 \times 0.8772 \][/tex]
[tex]\[ A \approx 3763 \][/tex]
Answer: 3763
#### Question 1.1.3:
Calculate the missing value [tex]\(B\)[/tex].
To determine [tex]\(B\)[/tex] (the average daily number of flights for British Airways Group in 2022 based on a 30% decrease from 2019), we need to calculate the 2019 flights first. Let [tex]\( x \)[/tex] be the number of British Airways flights in 2019 and [tex]\( B \)[/tex] be the number in 2022.
Given the decrease is 30%, the relationship can be formulated as:
[tex]\[ B = x \times (1 - 0.30) \][/tex]
From the table, we have:
[tex]\[ \text{Percentage change} = -30\% \][/tex]
This indicates that the number decreased by 30%.
We now need to find the 2019 number and calculate [tex]\(B\)[/tex]. Using the percentage formula in reverse:
[tex]\[ x = B / (1 - 0.30) \][/tex]
[tex]\[ x = B / 0.70 \][/tex]
Given that [tex]\(B =\)[/tex] new number in 2022:
[tex]\[ 536 = x \times 0.70 \][/tex]
[tex]\[ x = 536 / 0.70 \][/tex]
[tex]\[ x \approx 765.71 \][/tex]
Now we calculate the 2022 number again to ensure the calculation is consistent:
[tex]\[ B = 765.71 \times 0.70 \][/tex]
[tex]\[ B \approx 536 \][/tex]
We find [tex]\(B\)[/tex] which transforms total calculation:
[tex]\[ B \approx 536 - 750 \approx -13 \][/tex]
Answer: -13
Thus, the results are:
1. Wizz Air Group
2. 3763
3. -13
#### Question 1.1.1:
Determine the aircraft operator whose average daily flights increased the most since 2019.
To identify the aircraft operator with the highest increase in average daily flights, we need to look at the percentage change from 2019 to 2022 for each operator.
From the table:
- Ryanair Group: +9%
- Easy Jet Group: -20%
- Turkish Airlines: -7%
- Lufthansa Airlines: -29%
- Air France Group: -21%
- KLM Group: -18%
- Wizz Air Group: +13%
- British Airways Group: -30%
- Vueling: -10%
- SAS Group: -35%
The operator with the highest positive percentage change is Wizz Air Group with an increase of 13%.
Answer: Wizz Air Group
#### Question 1.1.2:
France operated 4290 average daily flights in 2019. Determine the missing value [tex]\(A\)[/tex], rounded to the nearest whole number.
To determine [tex]\(A\)[/tex] (the percentage change in average daily flights for France), we will use the provided data. We know the number of flights in 2022 (3763) and the number of flights in 2019 (4290).
The percentage change formula is:
[tex]\[ \text{Percentage change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage change} = \left( \frac{3763 - 4290}{4290} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage change} = \left( \frac{-527}{4290} \right) \times 100 \][/tex]
[tex]\[ \text{Percentage change} = -0.1228 \times 100 \][/tex]
[tex]\[ \text{Percentage change} = -12.28\% \][/tex]
Thus, the percentage change in French flights is approximately -12.28%. Converting this percentage to a decimal for calculating [tex]\(A\)[/tex]:
[tex]\[ A = 4290 \times (1 - 0.1228) \][/tex]
[tex]\[ A = 4290 \times 0.8772 \][/tex]
[tex]\[ A \approx 3763 \][/tex]
Answer: 3763
#### Question 1.1.3:
Calculate the missing value [tex]\(B\)[/tex].
To determine [tex]\(B\)[/tex] (the average daily number of flights for British Airways Group in 2022 based on a 30% decrease from 2019), we need to calculate the 2019 flights first. Let [tex]\( x \)[/tex] be the number of British Airways flights in 2019 and [tex]\( B \)[/tex] be the number in 2022.
Given the decrease is 30%, the relationship can be formulated as:
[tex]\[ B = x \times (1 - 0.30) \][/tex]
From the table, we have:
[tex]\[ \text{Percentage change} = -30\% \][/tex]
This indicates that the number decreased by 30%.
We now need to find the 2019 number and calculate [tex]\(B\)[/tex]. Using the percentage formula in reverse:
[tex]\[ x = B / (1 - 0.30) \][/tex]
[tex]\[ x = B / 0.70 \][/tex]
Given that [tex]\(B =\)[/tex] new number in 2022:
[tex]\[ 536 = x \times 0.70 \][/tex]
[tex]\[ x = 536 / 0.70 \][/tex]
[tex]\[ x \approx 765.71 \][/tex]
Now we calculate the 2022 number again to ensure the calculation is consistent:
[tex]\[ B = 765.71 \times 0.70 \][/tex]
[tex]\[ B \approx 536 \][/tex]
We find [tex]\(B\)[/tex] which transforms total calculation:
[tex]\[ B \approx 536 - 750 \approx -13 \][/tex]
Answer: -13
Thus, the results are:
1. Wizz Air Group
2. 3763
3. -13
