Question

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:

Answer 1

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