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

1. Tracie's bus travels towards her home at an average speed of
`(1)/(2)` miles per minute.

Explanation:

From the graph, we see that,

X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).

Also, the graph of the function is decreasing by 1 miles for every 2 minutes.

That is, the distance from home is decreasing as the time increases.

That is, the bus is getting closer to the home.

Further, as the distance is decreasing by 1 mile for every 2 minutes.

Thus, the rate of decrease is
`(1)/(2)` miles per minute.

As we know,
`Speed=(Distance)/(Time)`

So, the slope represents the speed of the bus travelling towards home.

That is, 'Tracie's bus travels towards her home at an average speed of
`(1)/(2)` miles per minute'.