A tennis ball was 2 feet off the ground when a tennis player hit it so that the ball traveled up in the air before coming back to the ground. The height of the tennis ball is described by the graph shown. Numbers along the x-axis represent the time, in seconds, after the ball was hit, and the numbers along the y-axis represent the height, in feet, of the ball at time x.

Use the graph to represent the average rate of change of the height of the ball for the first 0.25 second after being hit.

A.) 0.75 feet per second

B.) 3.0 feet per second

C.) 12 feet per second

D.) 20 feet per second

A.) 0.75 feet per second

B.) 3.0 feet per second

C.) 12 feet per second

D.) 20 feet per second

**Find the slope (rate of change) between 0 seconds and 0.25 second.**

The points are (0 , 2) and (0.25 , 5)

**y2 - y1**

----------- = slope{the slope formula}

----------- = slope

**x2 - x1**

5 - 2

---------- = slope {substituted coordinates into the slope formula}

0.25 - 0

3

------ = slope {subtracted in numerator and denominator}

0.25

rate of change =

**12 feet per second**

**C.)**

*Ask Algebra House*