At a particular instant, Bike A is 12 m east of an intersection and moving west…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

At a particular instant, Bike A is 12 m east of an intersection and moving west toward the intersection at 5 m/s, while Bike B is 9 m north of the intersection and moving north at 3 m/s. Without performing detailed calculations, indicate whether the straight-line distance between the two bikes is increasing or decreasing at that instant, and briefly justify your answer.

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