Question

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

What does the slope of the graph mean?

Tracie’s bus travels towards her home at an average speed of mile per minute.
Tracie’s bus travels towards her home at an average speed of 2 miles per minute.
Tracie’s bus travels away from her home at an average speed of mile per minute.
Tracie’s bus travels away from her home at an average speed of 2 miles per minute.

Answer 1

The answer is : A, Tracie's bus travels towards her home at an average speed of 1/2 mile per minute.

Answer 2

Tracie’s bus travels towards her home at an average speed of 1/2 mile per minute.

Explanation:

The labels on the graph tell us that the independent variable, x, represents time in minutes, and the dependent variable, y, represents distance from home in miles.

Looking at the graph, we can see that the number of miles from home decreases by 1 for every two minutes. Since the distance is decreasing, this means that the bus is getting closer to home. Since it decreases by 1 mile every 2 minutes, this means that the speed is 1/2 mile per minute.