To solve the problem of determining how many yards are in [tex]\(4 \frac{1}{2}\)[/tex] miles, follow these steps:
1. Convert the mixed number to an improper fraction or a decimal.
[tex]\[4 \frac{1}{2} = 4 + \frac{1}{2} = 4.5 \text{ miles}\][/tex]
2. Recall the conversion factor between miles and yards.
There are 1,760 yards in one mile.
3. Multiply the number of miles by the conversion factor to get the total number of yards.
[tex]\[4.5 \text{ miles} \times 1760 \text{ yards/mile} = 7920 \text{ yards}\][/tex]
Thus, there are 7,920 yards in [tex]\(4 \frac{1}{2}\)[/tex] miles.
So, the correct answer is:
[tex]\[ \boxed{7,920 \text{ yards}} \][/tex]
