Question

Very very tired, stuck on test. Answer please?

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?

A. The ball bounces to 30% of its previous height with each bounce.

B.The height at which the ball bounces at the nth bounce is 0.3 feet.

C.The ball bounces to 70% of its previous height with each bounce.

D. The height from which the ball was dropped at the nth bounce is 0.7 feet.

Answer 1

After no bounces the ball would be 9 * 1 = 9 ft
After one bounces the ball would be 9 * .7^1 = 6.3 ft
After two bounces the ball would be 9 * .7^2 = 4.41 ft
After three bounces the ball would be 9 * .7^3 = 3.087 ft
So then what is the .7 doing each bounce?