To convert 48.25 kilometers to miles using the conversion factor [tex]\(1.61 \, \text{kilometers} = 1 \, \text{mile}\)[/tex], we can follow these steps:
1. Identify the conversion factor:
- We know that [tex]\(1 \, \text{mile} = 1.61 \, \text{kilometers}\)[/tex].
2. Set up the conversion:
- To convert kilometers to miles, we need to divide the number of kilometers by the number of kilometers in one mile. This can be formulated as:
[tex]\[
\text{miles} = \frac{\text{kilometers}}{1.61}
\][/tex]
3. Apply the given value:
- We have [tex]\(48.25 \, \text{kilometers}\)[/tex]. Plugging this value into our formula, we get:
[tex]\[
\text{miles} = \frac{48.25 \, \text{kilometers}}{1.61}
\][/tex]
4. Execute the division:
- When we divide [tex]\(48.25\)[/tex] by [tex]\(1.61\)[/tex], we get:
[tex]\[
\text{miles} \approx 29.96894409937888
\][/tex]
So, the conversion of 48.25 kilometers to miles yields approximately [tex]\(29.96894409937888\)[/tex] miles.
Therefore, the closest correct answer from the provided options is:
29.9 miles.
