We have the following function: f(t) = −16t2 + 34t + 546 By definition, the average rate of change is: Avr = (f (t2) - f (t1)) / (t2 - t1) We have then: For t1 = 5: f (5) = -16*(5)^2 + 34*(5) + 546 f (5) = 316 For t2 = 5: f (7) = -16*(7)^2 + 34*(7) + 546 f (7) = 0 Substituting values: Avr = (0 - 316) / (7 - 5) Avr = -158 Answer: The average rate of change of f (t) from t = 5 seconds to t = 7 seconds is -158 feet per second.
