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 /s2 and represents the car's acceleration. answer for blank 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
 
 The average rate of change of the function between x = 15 to x = 29 is 3 m / s2 and represents the car's acceleration

Two events are said to be independent if the probability that one event occurs in no way affects the probability of the other event occurring.

Given that Marco has a bag of red, blue, and green tiles.

The set of events that can be considered independent are:

1.) A tile is drawn and replaced, and then a second tile is drawn.
and
2.) Two tiles are drawn at the same time.