Question

predicted cost for 9 people: $63
(b) 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)	10	20	24

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 amount of time to travel 32 kilometers: \\(\square\\) minutes

Explanation:

Step1: Calculate speed per interval

For 10 km/2 min: $\frac{10}{2}=5$ km/min
For 20 km/5 min: $\frac{20}{5}=4$ km/min
For 24 km/6 min: $\frac{24}{6}=4$ km/min

Step2: Compare speeds

The speed changes from 5 km/min to 4 km/min, so the distance per minute is not constant.

Step3: Predict time for 32 km

Use the consistent later speed of 4 km/min. Time = $\frac{\text{Distance}}{\text{Speed}} = \frac{32}{4}=8$ minutes

Answer:

Correct description: The train does not always go the same distance each minute.
Predicted amount of time to travel 32 kilometers: 8 minutes