The distance d a train travels varies directly with the amount of time t that has elapsed since departure. If the train travels 475 miles in 9.5 hours, how many miles did the train travel after 4 hours?
(1 point)
100
100
200
200
232.5
232.5
300
To find the distance the train traveled after 4 hours, we can set up a proportion using the given information.
Let's call the distance traveled after 4 hours x miles.
Since the distance traveled varies directly with the amount of time, we can write the proportion:
d/ (t) = x/ (4)
We know that when t = 9.5 hours, the train travels 475 miles. So, we can write another proportion using this information:
475/ (9.5) = x/ (4)
To find x, we cross-multiply and solve for x:
475 * 4 = 9.5 * x
1900 = 9.5x
x = 1900/9.5
x = 200
Therefore, the train traveled 200 miles after 4 hours.