Answer:
[tex]y=10(0.9)^x[/tex]Explanation:
The ball is dropped from an initial height of 10 feet.
It loses 10% of its height after every bounce.
• An equation for the height of the ball, y, after x bounces is derived below:
[tex]\begin{gathered} y=10(1-10\%)^x \\ y=10(1-0.1)^x \\ y=10(0.9)^x \end{gathered}[/tex]Substitute the values of x=1,2,3 and 4 respectively:
[tex]\begin{gathered} When\; x=1,y=10(0.9)^1=9\text{ feet} \\ When\; x=2,y=10(0.9)^2=8.1\text{ feet} \\ When\; x=3,y=10(0.9)^3=7.29\text{ feet} \\ When\; x=4,y=10(0.9)^4=6.561\text{ feet} \end{gathered}[/tex]
