Traffic density

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Traffic density d(x)d(x), measured in cars per kilometer, was recorded at the midpoints of four consecutive 2-km sections of a highway segment extending from x=0x=0 km to x=8x=8 km. xx (km): 1 3 5 7 d(x)d(x) (cars/km): 25 30 28 20 Using each density measurement to represent its entire 2-km subinterval, estimate the total number of cars on the 8-km segment.

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