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MathematicsStandard Multiple Choice

Engineers at a theme park are recording the speed of a roller coaster as it

travels over a particular hill. The graph shown above in the d s-plane

represents the relationship between s, the speed of the roller coaster, in

meters per second, and d, the distance along the track from the base of the

hill, in meters. What is the best interpretation of the s-intercept marked on

the graph?

Select an Answer

A.The hill is 25 meters high

B.The roller coaster has a speed of 25 meters per second at the base of the

hill

C.The roller coaster has a speed of 25 meters per second at the top of the

hill

D.When the roller coaster is 35 meters from the base of the hill, its speed

reaches 0 meters per second and stop

Answer B

EXPLANATION

Choice B is correct.

The s-intercept is the point left parenthesis d comma s right parenthesis

equals left parenthesis 0 comma 25 right parenthesis. This means that the speed

of the roller coaster is 25 meters per second 0 meters from the base of the

hill.

The point 0 meters from the base of the hill is at the base of the hill.

Therefore, the s-intercept means that the roller coaster has a speed of 25

meters per second at the base of the hill.