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Step-by-step explanation:
Tracie’s bus travels towards her home at an average speed of StartFraction one-half EndFraction mile per minute.
The slope of the graph shows Tracie's bus travels towards her home at an average speed of 1/2 or 0.5 mile per minute. The option A is correct.
Tracie rides the bus home from school each day. The x-axis shows Time in minutes and the y-axis shows Distance from Home in miles.
x = 0 2 4 10
y = 9 8 7 4
What the slope of the graph means is determined.
What is the slope of the line?
The slope of the line is the tangent angle made by the line with horizontal. i.e. m=tanx where x in degrees.
Here, Slope can be given as m =[tex](Y_2-Y_1) / (X_2-X_1)[/tex] = distance/time
It implies the slope shows the speed of the bus,
here, (2, 8) and (0, 9)
m = [tex](Y_2-Y_1) / (X_2-X_1)[/tex]
m = (9-8)/(0-2)
m = -1/2
negative sign shows the distance is decreasing because the bus is moving toward home,
Thus, the slope of the graph shows Tracie's bus travels toward her home at an average speed of 1/2 or 0.5 mile per minute. The option Ais correct.
Learn more about slopes here:
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