To determine how many miles correspond to 1500 yards, start with the given information that 1 mile is equivalent to 1760 yards.
First, express the conversion factor from yards to miles:
[tex]\[1 \text{ mile} = 1760 \text{ yards}\][/tex]
We want to convert 1500 yards to miles. To do this, we divide the number of yards by the number of yards per mile:
[tex]\[\text{Number of miles} = \frac{1500 \text{ yards}}{1760 \text{ yards/mile}}\][/tex]
Perform the division to find the result:
[tex]\[\text{Number of miles} = \frac{1500}{1760} \approx 0.8522727272727272\][/tex]
Thus, converting 1500 yards to miles approximately gives:
[tex]\[0.8522727272727272 \text{ miles}\][/tex]
Given the options:
A. 0.65 miles
B. 0.85 miles
C. 1.17 miles
D. 0.28 miles
The closest option to our result of approximately 0.8522727272727272 miles is:
[tex]\[ \boxed{0.85 \text{ miles}} \][/tex]
So, the result of converting 1500 yards into miles is approximately 0.85 miles.
