Question

A transit company operates commuter trains to help people get to the city each day. Each train travels on a straight route to and from the farthest station, stopping at other stations along the route. The graph shows the distance y miles the train is from the station after x minutes. Commuter Train Distance as wor Distance from t Station (miles) 5 Y 0 10 20 30 40 50 60 70 80 Time (minutes) Formula Sheet Calculator Reference Type your answer in the box. You may use numbers, a decimal point (.), and/or a negative sign (-) in your answer. Based on the graph, what was the average speed, in miles per minute, of the train during the interval of 30 to 40 minutes?​

Answer 1

The average speed of the train during the interval of 30 to 40 minutes is 1 mile per minute.

Explanation:

To determine the average speed of the train during the interval of 30 to 40 minutes, we need to find the change in distance and divide it by the change in time.

From the graph, we can see that at 30 minutes, the distance from the station is 40 miles, and at 40 minutes, the distance is 50 miles.

Change in distance = 50 miles - 40 miles = 10 miles

Change in time = 40 minutes - 30 minutes = 10 minutes

To find the average speed, we divide the change in distance by the change in time:

Average speed = Change in distance / Change in time

Average speed = 10 miles / 10 minutes

Average speed = 1 mile per minute

Therefore, the average speed of the train during the interval of 30 to 40 minutes is 1 mile per minute.