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The table below represents the velocity of a car as a function of time: Time (seconds) x Velocity (m/s) f (x) 15 45 22 66 29 87 36 108 The average rate of change of the function between x = 15 to x = 29 is __________m/s2 and represents the car's acceleration. Answer for Blank 1:

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carlosego
By definition we have to:
 The average rate of change:
 AVR = (f (x2) - f (x1)) / (x2 - x1)
 Substituting the values we have:
 AVR = (87 - 45) / (29 - 15)
 Rewriting we have:
 AVR = (42) / (14)
 AVR = 3
 Answer:
 The average rate of change of the function between x = 15 to x = 29 is 3 m / s2 and represents the car's acceleration

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