If a ball is dropped from a height of 18 feet, the function f(x) = 18(0.75)* gives the height
in feet of each bounce, where x is the bounce number. What will be the height of the
7th bounce to the nearest tenth of a foot?

Respuesta :

Answer:

At the 7th bounce, the ball reached 2.3 feet height.

Step-by-step explanation:

The given expression is

[tex]f(x)=18(0.75)^{x}[/tex]

This exponential function represents the movement of a bouncing ball after being dropped.

[tex]x[/tex] represents the bounce number.

So, at 7th bounce means [tex]x=7[/tex], replacing this value in the function, we have

[tex]f(7)=18(0.75)^{7}=18(0.13) \approx 2.34[/tex]

Therefore, at the 7th bounce, the ball reached 2.3 feet height.

Answer:

2.4 feet

Step-by-step explanation: