Question

fill in the blanks as necessary.
(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) 12 24 35
time (in minutes) 2 4 7
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 54 kilometers: minutes

Explanation:

Step1: Calculate speed per interval

For 12 km/2 min: $\frac{12}{2}=6$ km/min
For 24 km/4 min: $\frac{24}{4}=6$ km/min
For 35 km/7 min: $\frac{35}{7}=5$ km/min

Step2: Evaluate speed consistency

Since the speed changes from 6 km/min to 5 km/min, the train's per-minute distance is not constant.

Step3: Predict time for 54 km

Use the consistent speed (6 km/min, as first two intervals match, the third is likely an outlier for prediction):
$\text{Time}=\frac{\text{Distance}}{\text{Speed}}=\frac{54}{6}=9$ minutes

Answer:

The train does not always go the same distance each minute.
Predicted amount of time to travel 54 kilometers: 9 minutes