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 b bounces?

Denote by the height of the ball after bounces. we can consider the initial drop from 6 feet to be the height after 0 bounces, or tex]h(0)[/tex]. we're told that for each bounce, the height decreases by a factor of 27.8%, or 0.278[/tex]. this means the height of the ball is recursively given bypresumably, the given answer choices are possible explicit formulas for . we can find one quite easily.so the height of the ball after the -th bounce iswhere is an integer.