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Average Rate of Change and Chord Slopes Practice
Name: Date:
Calculate the average rate of change for each function or scenario across the specified interval. Include units where applicable.
Find the average rate of change of f(x) = 3x - 5 between x = 2 and x = 6.
Calculate the slope of the chord connecting x = 1 and x = 4 for the function f(x) = x^2.
A delivery van travels 150 miles in 3 hours. Find the average rate of change of distance with respect to time.
Find the average rate of change of g(x) = x^2 - 2x over the interval [-1, 3].
Find the slope of the chord for f(x) = x^3 between x = -1 and x = 2.
Water drains from a container such that the volume is V(t) = 50 - 2t^2 liters, where t is in minutes. Calculate the average rate of change of volume from t = 1 to t = 4.