Advanced Placement (AP)

A person whose height is M feet away from the base of the streetlight along a straight road, as shown in the figure above. The height of the streetlight is L feet. At time t seconds, the person is x feet from the streetlight, and the length of the person’s shadow is s feet. The quantities are related by the question 1/L(x+s)= 1/Ms, where L and M are constants. Which of the following best describes the relationship between the rate of change of x with respect to time and the rate of change of s with respect to time?

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