Question

Question

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
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Answer 1

To solve this problem, we can set up a proportion using the given information.

We know that the distance d varies directly with the time t, so we can write the proportion as:

d / t = k

where k is the constant of variation.

We are given that the train traveled 475 miles in 9.5 hours, so we can plug these values into the proportion:

475 / 9.5 = k

Simplifying the left side of the equation, we get:

50 = k

Now we can use this value of k in the proportion to find the distance the train traveled after 4 hours:

d / 4 = 50

Solving for d, we have:

d = 4 * 50
d = 200

Therefore, the train traveled 200 miles after 4 hours. Answer: 200.