The relationship between miles and kilometers is shown in the table below.

\begin{tabular}{|c|c|}
\hline
Miles & Kilometers \\
\hline
18.2 & 29.12 \\
\hline
29.5 & 47.20 \\
\hline
34.1 & 54.56 \\
\hline
52.8 & 84.48 \\
\hline
\end{tabular}

How many miles are in 19.08 kilometers?

A. 11.925
B. 17.48
C. 20.68
D. 30.528



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.