To convert distances from miles to yards, we need to use a ratio that relates miles to yards accurately. We know from the problem that there are 1,760 yards in one mile.
Step 1: Identify the correct conversion ratio.
To convert miles to yards, the correct ratio should indicate how many yards are in one mile. Therefore, the correct ratio should be:
[tex]\[
\frac{1760 \text{ yards}}{1 \text{ mile}}
\][/tex]
Step 2: Apply the ratio.
To convert 0.5 miles to yards using the correct ratio, we can multiply the given distance in miles by the ratio:
[tex]\[
0.5 \text{ miles} \times \frac{1760 \text{ yards}}{1 \text{ mile}}
\][/tex]
Step 3: Perform the multiplication.
Since we are converting 0.5 miles into yards:
[tex]\[
0.5 \times 1760 = 880 \text{ yards}
\][/tex]
Thus, the correct ratio to use is:
[tex]\[
\frac{1760 \text{ yards}}{1 \text{ mile}}
\][/tex]
So, the correct answer is:
A. [tex]\(\frac{1760 \text{ yards}}{1 \text{ mile}}\)[/tex]
