Select the correct answer. The height that a properly inflated basketball bounces decreases exponentially by 27.8% with each subsequent bounce after the initial drop.A local basketball league tests the inflation of their basketballs by dropping them from a height of 6 feet. Which equation can be used to model the height of the basketball,H, after bbounces? A. H=6(0.722)^b B. H=6(1.278)^b C. H=6(0.278)^b D. H=6(0.9722)^b

To determine the correct equation to model the height of the basketball after bounces, we need to consider the exponential decrease in height with each bounce.The problem states that the height decreases by 27.8% with each bounce. This means that the basketball retains 100% - 27.8% = 72.2% of its height after each bounce.Therefore, the factor by which the height is multiplied after each bounce is 0.722 (since 72.2% as a decimal is 0.722).The initial height from which the basketball is dropped is 6 feet. Thus, the equation modeling the height after bounces is: So, the correct answer is:A. \( H = 6(0.722)^b \)