Homework help

Question

A bolish dropped from the height of 96' after each mouse the ballroom just 3/4 of its previous height right and equation for the height in terms of bounces make a table

Answer 1

 

 H(b) = (3/4)^(b)*96

 

Bounce #0: the ball is dropped:  B=0 :   (3/4)^0 * 96 = 1*96 = 96

 

Bounce #1:  B=1 : (3/4)*96 = 72

 

Bounce #2: B=2 -->  (3/4)^2*96 = 9/16*96 = 9*6 = 54

 

Bounce #3: B=3 ---> (3/4)^3*96 = 27/64*96 = 40.5

 

Bounce #4: B=4 ---->  (3/4)^4 * 96 = 81/256*96 = 30 and 3/8 

 

Bounce #5: B=5 ---> (3/4)^5 * 96 = 22 and 25/32

 

etc