Answer:
Step-by-step explanation:
I'm thinking you want to know the height of the ball on that 5th bounce, right? This is of the form
[tex]y=a(b)^x[/tex]
where a is the initial height and b is the decay factor. If the ball comes up to 2/3 of its height from the previous bounce, then b = 2/3 and our equation is
[tex]y=30(\frac{2}{3})^x[/tex]
If you want to know the height y of the 5th bounce x, sub in a 5 for x and solve for y:
[tex]y=30(\frac{2}{3})^5[/tex] and get that
y = 320/81 or as a decimal, 3.9506 feet
