Anew softball dropped onto a hard surface from a height of 25 inches rebounds to about 2/5 the height on each successive bounce. a. write a function representing the rebound height for each bounce. b. graph the function. c. after how many bounces would a new softball rebound less than 1 inch?

Part A:
 For this case we have a function of the form:
 
 Where,
 A: initial height
 b: decrease rate
 x: number of bounces
 Substituting values we have:
 
 Rewriting:
 
 
 

 Part b:
 See attached image

 Part c:
 By the time the height is less than 1 inch we have:
 
 From here, we clear x:
 
 Logarithm on both sides:
 
 Rewriting:
 
 
 
 
 x> 3.513 or x = 4

45x is the correct answer