Answer:
the height of Sammie's ball after x bounces, we need to consider the behavior of the ball with each bounce.
Since the ball is bouncy, it will not retain its full height with each bounce. It will lose some of its height due to the nature of bouncing.
Looking at the answer choices, we can see that the common factor in all of them is 60, which represents the initial height of the ball.
Now, let's consider the exponent. With each bounce, the height of the ball decreases. The exponent in the equation should reflect this decrease.
Among the answer choices, the only option that decreases with each bounce is option B: h = 60(0.72)^x.
Therefore, the equation that models the height of Sammie's ball, h, in inches, after x bounces is h = 60(0.72)^x.
