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)
Responses
100
100
200
200
232.5
232.5
300
300
To solve this problem, we can use the formula for direct variation, which states that d = kt, where d is the distance, t is the time, and k is the constant of variation.
Given that the train travels 475 miles in 9.5 hours, we can plug these values into the equation to find the value of k.
475 = k * 9.5
Divide both sides of the equation by 9.5 to solve for k:
k = 475/9.5
k = 50
Now that we have the value of k, we can use it to find the distance traveled after 4 hours:
d = k * t = 50 * 4 = 200
Therefore, the train traveled 200 miles after 4 hours.