please help! quick explanation. picture provided

Option C:
[tex]\frac{4.5}{32} =\frac{x}{34}[/tex] is the proportion could be used to determine how many miles Andrea can run in 54 minutes.
Solution:
Andrea ran 4.5 miles in 32 minutes.
To find how many miles she can run in 54 minutes:
Miles Minutes
4.5 32
x 54
Same ratio:
[tex]$\frac{\text{Number of miles ran}}{\text{Time taken}} =\frac{\text{Number of miles can run}}{\text{Time taken}}[/tex]
[tex]$\frac{4.5}{32} =\frac{x}{54}[/tex]
Hence option C is the correct answer.
[tex]\frac{4.5}{32} =\frac{x}{34}[/tex] is the proportion could be used to determine how many miles Andrea can run in 54 minutes.