The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:

which of the following best describes the motion of the car shown?

a it travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours.
b it travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
c it travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
d it travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Option D.

Step-by-step explanation:

In the given graph y is the distance traveled by a car (in miles) for a certain amount of time x (in hours).

Th given graph is a piecewise function. Using the given graph it is clear that

From x=0 to x=2 the distance covered by the car is 26. It means the car travels for 2 hours.

From x=2 to x=3 the distance covered by the car is 0. It means the car stops for 1 hours.

From x=3 to x=5 the distance covered by the car is 52-26=26. It means the car travels for 2 hours.

Therefore, the correct option is D.

center= (-2,0)

radius= sqrt2/2

step-by-step explanation:

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