The distance d a train travels carries 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)
A.) 100
B.) 200
C.) 232.5
D.) 300
To solve this problem, we can set up a proportion using the given information.
We know that the distance traveled (d) is directly proportional to the amount of time elapsed (t). This can be written as:
d/t = k
where k is the constant of proportionality.
We can use the given information to find the value of k. The train travels 475 miles in 9.5 hours, so we have:
475/9.5 = k
Simplifying this, we find that k = 50.
Now we can use this value of k to find the distance traveled after 4 hours. We have:
d/4 = 50
To solve for d, we can cross multiply:
d = 4 * 50
d = 200
Therefore, the train traveled 200 miles after 4 hours.
The answer is:
B.) 200