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A train travels from City A to City B. The table below shows the distance and the amount of time it takes on the train.Distance (km) 8 12 32Time (in minutes) 2 3 8The train does not always go the same distance each minute.The train appears to go the same distance each minute.Predicted distance traveled in 9 minutes: km

Question

A train travels from City A to City B. The table below shows the distance and the amount of time it takes on the train.Distance (km) 8 12 32Time (in minutes) 2 3 8The train does not always go the same distance each minute.The train appears to go the same distance each minute.Predicted distance traveled in 9 minutes: km

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Solution

To predict the distance traveled in 9 minutes, we first need to find the average speed of the train. We can do this by dividing the total distance by the total time for each given interval.

For the first interval, the speed is 8 km / 2 min = 4 km/min. For the second interval, the speed is 12 km / 3 min = 4 km/min. For the third interval, the speed is 32 km / 8 min = 4 km/min.

The train appears to travel at an average speed of 4 km/min.

To find the distance the train would travel in 9 minutes, we multiply the time by the average speed:

Distance = Speed x Time Distance = 4 km/min x 9 min = 36 km

So, the predicted distance traveled in 9 minutes is 36 kilometers.

This problem has been solved

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