Using Relationship Models to Answer Questions

5.11.5 Using Relationship Models to Answer Questions

5.11.5 • Using Relationship Models to Answer Questions

Cool Down

A ball is dropped from a certain height. The table shows the rebound heights of the ball after a series of bounces.

Bounce NumberHeight in Centimeters
1 30
2 6
3 1
4 0
1.

From what height, approximately, do you think the ball was dropped? Be prepared to show your reasoning.

Compare your answer:

Between 150 cm and 180 cm. The rebound factors are 1515, 1616, and 0 (this last measurement is probably not reliable because it could have been a very small bounce height, which would be difficult to measure). Because 1515 of 150 is 30 and 1616 of 180 is 30, the ball was probably dropped from between 150 cm and 180 cm.