A ball is dropped and bounces to a height of 10 feet. The ball rebounds to 80% of its previous height. Graph the sequence on a sheet of paper.
a) Describe the pattern.
b) To the nearest inch, find the height of the ball after its eighth bounce.

Question

A ball is dropped and bounces to a height of 10 feet. The ball rebounds to 80% of its previous height. Graph the sequence on a sheet of paper.
a) Describe the pattern.
b) To the nearest inch, find the height of the ball after its eighth bounce.

anonymous · Answer

A Negative Trend which slowly levels off, so will never reach 0.

Starting Height * Reduction ^ Number of Bounces

10 feet * 0.8 ^ 8

10 * 0.16777216

1.6777216 feet (*12 to convert to inches)

20 inches to the nearest inch