A new 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) After how many bounces would a new softball rebound less than 1 inch?

I tried to solve this on my own but I think it is wrong. Could someone please help? :)

Question

A new 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) After how many bounces would a new softball rebound less than 1 inch? 

I tried to solve this on my own but I think it is wrong. Could someone please help? :)

anonymous · Answer

25, 25(2/5), 25(2/5)^2, 25(2/5)^3,...
H(n) = 25(2/5)^n, where n is the number of bounce

anonymous · Answer

25(2/5)^n < 1

anonymous · Answer

A)f(x) = 25(0.4)x; 3 bounces. 
B)f(x) = 25(0.4)x; 4 bounces. 
C)f(x) = 0.4(25)x; 4 bounces. 
D)f(x) = 0.4(25)x; 3 bounces. 

I am not really sure, these are the answers.. I am sorry I am not very good at Math

anonymous · Answer

25(2/5)^4 = 0.64 < 1,

so B

anonymous · Answer

Thank you Thank you Thank you!!! :D