Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes? Show ALL work.A) 150 metersB) 450 metersC) 700 metersD) 1,400 meters

Answer: B) 450 metersStep-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,