Consider this equation:
y = 27
Make a table and a graph, and write an equation using NOW and NEXT. Discuss how the rate of change is shown in each.

Suppose you must compare the elasticity of several different brands of golf balls. Get a variety of golf balls and a tape measure. Begin the comparison by choosing one of the balls. Decide on a method for measuring the height of successive rebounds after the ball is dropped from a height of at least 8 feet. (You may want to use technology to gather the data, such as a motion detector.) Collect data on the rebound height for successive bounces of the ball. Find the rate of change of consecutive bounces. Write an equation using NOW and NEXT that relates the rebound height of any bounce to the height of the preceding bounce. Write an equation y = .... to predict the rebound height after any number of bounces. Use a different type of ball and repeat the process two more times. Compare the results of the three data sets. Write a brief report summarizing your findings.

Consider this equation:
y = 27
Describe the rate of change. How is the value of y changed from one integer value of x to the next?

Most popular American sports involve balls of some sort. One of the most important factors in playing with those balls is the bounciness or elasticity of the ball. If a new golf ball is dropped onto a hard surface, it should rebound to about of its drop height. Suppose a new golf ball drops downward from a height of 27 feet and keeps bouncing up and down. Make a table and plot of the data showing the expected heights of the first ten bounces. How does the rebound height change from one bounce to the next? How is that pattern shown by the shape of the data plot? What equation relating NOW and NEXT shows how to calculate the rebound height for any bounce from the height of the preceding bounce? Write an equation y = .... to model the rebound height after any number of bounces. Discuss how the rate of change is shown in each equation.