tracie rides the bus home from school each day. the graph represents her distance from home relative to the…

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? tracies bus travels towards her home at an average speed of \\( \\frac { 1 } { 2 } \\) mile per minute. tracies bus travels towards her home at an average speed of 2 miles per minute. tracies bus travels away from her home at an average speed of \\( \\frac { 1 } { 2 } \\) mile per minute. tracies bus travels away from her home at an average speed of 2 miles per minute.

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? tracies bus travels towards her home at an average speed of \\( \\frac { 1 } { 2 } \\) mile per minute. tracies bus travels towards her home at an average speed of 2 miles per minute. tracies bus travels away from her home at an average speed of \\( \\frac { 1 } { 2 } \\) mile per minute. tracies bus travels away from her home at an average speed of 2 miles per minute.

Answer

Explanation:

Step1: Calculate the slope

The formula for slope (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(0,9)) and ((x_2,y_2)=(10,4)). Then (m=\frac{4 - 9}{10-0}=\frac{- 5}{10}=-\frac{1}{2}). The negative sign indicates the distance from home is decreasing (towards home). The magnitude (\frac{1}{2}) represents the rate of change of distance with respect to time (speed).

Answer:

Tracie's bus travels towards her home at an average speed of (\frac{1}{2}) mile per minute.