Question

(a) 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 (in kilometers)	9	15	18

choose the correct description.
○ the train does not always go the same distance each minute.
○ the train appears to go the same distance each minute.

predicted distance traveled in 10 minutes: □ km

Explanation:

Step1: Calculate the speed for each pair

For the first pair: $\frac{9}{3}=3$ km/min.
For the second pair: $\frac{15}{5}=3$ km/min.
For the third pair: $\frac{18}{9}=2$ km/min.
Since the speeds are not the same (3, 3, 2), the train does not always go the same distance each minute.

Step2: Use the non - inconsistent speed (first two pairs) to predict

Since the first two pairs give a speed of 3 km/min (assuming we consider the more consistent part for prediction, as the third value may be an outlier or error in data taking in a simple - problem context).
Distance = speed×time. So for \(t = 10\) minutes, \(d=3\times10 = 30\) km.

Answer:

The train does not always go the same distance each minute. Predicted distance traveled in 10 minutes: 30 km.