Answer :
To determine how many miles are equivalent to 19.08 kilometers based on the given data, let's go through the following steps:
1. Calculate the Conversion Factors:
By using the given pairs of values (miles and kilometers), calculate the conversion factor (kilometers per mile) for each pair:
[tex]\[ \text{Conversion factor for pair 1} = \frac{29.12}{18.2} \approx 1.6 \][/tex]
[tex]\[ \text{Conversion factor for pair 2} = \frac{47.20}{29.5} \approx 1.6 \][/tex]
[tex]\[ \text{Conversion factor for pair 3} = \frac{54.56}{34.1} \approx 1.6 \][/tex]
[tex]\[ \text{Conversion factor for pair 4} = \frac{84.48}{52.8} \approx 1.6 \][/tex]
2. Compute the Average Conversion Factor:
Find the average of these conversion factors to get a general conversion rate:
[tex]\[ \text{Average conversion factor} = \frac{1.6 + 1.6 + 1.6 + 1.6}{4} = 1.6 \][/tex]
3. Convert Kilometers to Miles:
Use this average conversion factor to calculate how many miles are in 19.08 kilometers:
[tex]\[ \text{Miles} = \frac{\text{kilometers}}{\text{conversion factor}} = \frac{19.08}{1.6} \approx 11.925 \][/tex]
4. Compare with Given Choices:
From the provided choices:
- 11.925
- 17.48
- 20.68
- 30.528
The closest choice to the calculated value of approximately 11.925 miles is 11.925.
Thus, 19.08 kilometers is approximately equal to 11.925 miles.
1. Calculate the Conversion Factors:
By using the given pairs of values (miles and kilometers), calculate the conversion factor (kilometers per mile) for each pair:
[tex]\[ \text{Conversion factor for pair 1} = \frac{29.12}{18.2} \approx 1.6 \][/tex]
[tex]\[ \text{Conversion factor for pair 2} = \frac{47.20}{29.5} \approx 1.6 \][/tex]
[tex]\[ \text{Conversion factor for pair 3} = \frac{54.56}{34.1} \approx 1.6 \][/tex]
[tex]\[ \text{Conversion factor for pair 4} = \frac{84.48}{52.8} \approx 1.6 \][/tex]
2. Compute the Average Conversion Factor:
Find the average of these conversion factors to get a general conversion rate:
[tex]\[ \text{Average conversion factor} = \frac{1.6 + 1.6 + 1.6 + 1.6}{4} = 1.6 \][/tex]
3. Convert Kilometers to Miles:
Use this average conversion factor to calculate how many miles are in 19.08 kilometers:
[tex]\[ \text{Miles} = \frac{\text{kilometers}}{\text{conversion factor}} = \frac{19.08}{1.6} \approx 11.925 \][/tex]
4. Compare with Given Choices:
From the provided choices:
- 11.925
- 17.48
- 20.68
- 30.528
The closest choice to the calculated value of approximately 11.925 miles is 11.925.
Thus, 19.08 kilometers is approximately equal to 11.925 miles.
