Notice that:
[tex]f(0)=64(0.75)^0=64,[/tex]
therefore when x=0, f(0)=64, which is equal to the initial height. Therefore, x represents the number of times the ball bounces and f(x) represents the height after x bounces.
Finally, each time the ball bounces the previous height is multiplied by the factor 0.75, therefore is it reduced.
Answer:
The variable, x, represents the number of times the ball bounces.
The variable, f(x), represents the height of the ball after x bounces.
The parameter, 64, represents the initial height of the ball.
The parameter, 0.75, represents the percentage of height left from each previous bounce.
