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?

Question

(1 point)
Responses

100
100

200
200

232.5
232.5

300The 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

300The 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

Answer 1

To find the distance the train traveled after 4 hours, we can use the concept of direct variation.

If the distance varies directly with time, then we can write the equation as d = kt, where k is the constant of variation.

We are given that the train traveled 475 miles in 9.5 hours. We can use this information to find the value of k.

475 = k * 9.5

Dividing both sides by 9.5, we get:

k = 475/9.5 = 50

Now that we have the value of k, we can find the distance the train traveled after 4 hours.

d = kt = 50 * 4 = 200 miles

Therefore, the train traveled 200 miles after 4 hours.