Question

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce: f(n) = 9(0.7)n What does the number 0.7 represent? The ball bounces to 30% of its previous height with each bounce. The height at which the ball bounces at the nth bounce is 0.3 feet. The ball bounces to 70% of its previous height with each bounce. The height from which the ball was dropped at the nth bounce is 0.7 feet.

Answer 1

See below.

Explanation:

The 0.7 represents the fact that the ball bounces to 70% of its previous height with each bounce.

The ball is dropped from 9 feet then after the first bounce ( when n = 1) it climbs to 9(0.7)^1 = 6.3 feet , after the second bounce it climbs to 9(0.7)^2

= 4.41 feet and so on.