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. based on the graph, what was the average speed, in miles per minute, of the train during the interval of 30 to 40 minutes?

Explanation:

Step1: Find the distance traveled

At \(x = 30\) minutes, \(y = 20\) miles. At \(x = 40\) minutes, \(y = 10\) miles. The distance traveled is \(20 - 10=10\) miles.

Step2: Calculate the average speed

The formula for average speed \(v=\frac{\text{distance}}{\text{time}}\). The time interval is \(40 - 30 = 10\) minutes. So \(v=\frac{10}{10}\) miles per minute.

Answer:

\(1\)