The graph shows the motion of two cars starting at different places on a highway. Their speeds can be compared by comparing the steepness of the graphed lines.

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The graph shows the motion of two cars starting at different places on a highway Their speeds can be compared by comparing the steepness of the graphed lines Us class=

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From the steepness of the slope lines and the slope value calculated, Car B is traveling at a greater speed than Car A

Calculating the slope of each Car :

  • Slope = Rise / Run = (y2 - y1) / (x2 - x1)

For Car A :

Slope = (100 - 25) / (3 - 0) = 75 / 3 = 25 miles / hour

For Car B:

Slope = (150 - 0) / (2 - 0) = 150 / 2 = 75 miles / hour

The slope gives the speed level of each car, and hence the car with the higher speed.

Therefore, car B is traveling faster than car A has it has a higher slope value.

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