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)	6	15	21

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 8 minutes: \\(\square\\) km

Explanation:

Step1: Calculate speed for each case

For the first case, speed $v_1 = \frac{6}{2} = 3$ km/min.
For the second case, speed $v_2 = \frac{15}{5} = 3$ km/min.
For the third case, speed $v_3 = \frac{21}{7} = 3$ km/min.

Step2: Determine the description

Since all speeds are equal (3 km/min), the train appears to go the same distance each minute.

Step3: Predict distance in 8 minutes

Using speed $v = 3$ km/min, distance $d = v \times t = 3 \times 8 = 24$ km.

Answer:

The train appears to go the same distance each minute.
Predicted distance traveled in 8 minutes: $\boldsymbol{24}$ km