Answer: B) 450 meters
Step-by-step explanation:
Given : Nate walks 25 meters in 13.7 seconds.
Since he walks at this same rate , it means the distance and time are proportional.
Let d be be the distance covered in 4 minutes.
Also, 1 minute = 60 seconds.
Then [tex]\text{4 minutes}=4\times60=240\text {seconds}[/tex]
According to the given information, we have the following equation :-
[tex]\dfrac{d}{240}=\dfrac{25}{13.7}\\\\\Rightarrow\ d=\dfrac{25\times240}{13.7}\\\\\Rightarrow\ d=437.9562043[/tex]
From the given options, The value closest to [tex]d=437.9562043[/tex] is 450.
Thus , the closest to the distance he will walk in 4 minutes is 450 meters,