Question

Which equation can be used to model the height of a basketball after b bounces, considering it decreases exponentially by 27.8% with each subsequent bounce from its initial drop height of 6 feet?

A. H = 6(0.722)ᵇ
B. H = 6(0.278)ᵇ
C. H = 6(0.9722)ᵇ
D. H = 6(1.278)ᵇ

Answer 1

The equation that can be used to model the height of a basketball after each bounce is H = 6(0.722)^b.

Step-by-step explanation:

To model the height of a basketball after each bounce, we can use an exponential decay equation. The equation that represents the given scenario is H = 6(0.722)b.

In this equation, H represents the height of the basketball after b bounces, and 0.722 represents the exponential decay factor of 27.8%. The initial drop height of the basketball is 6 feet.

Each subsequent bounce causes the height to decrease by 27.8%, or 0.722 times the previous height.