Question

The change in the height of a ball from one bounce to the next, if the ball is dropped from a height of 12 feet, is 75% of its previous height. Which of the following is true?

A) The ball reaches a height of 9 feet on the first bounce.
B) The ball continues bouncing indefinitely without losing height.
C) The ball's height decreases by 25% with each bounce.
D) The ball's height decreases by 75% with each bounce.

Answer 1

The ball reaches a height of 9 feet on the first bounce.

Step-by-step explanation:

The statement that is true is A) The ball reaches a height of 9 feet on the first bounce.

According to the given information, the change in height of the ball from one bounce to the next is 75% of its previous height. If the ball is dropped from a height of 12 feet, then on the first bounce, the ball would reach a height of 9 feet (75% of 12 feet).

In subsequent bounces, the height would also decrease by 75% of the previous height. However, this does not mean that the ball would continue bouncing indefinitely without losing height. Eventually, the height of the ball would approach zero as the bounces continue.