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

f (7) = 2.4 ft

Step-by-step explanation:

Solution:-

- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce:

f (x) = 18 (0.75) ^x

Where, x e [ 0, ∞) : The number of bounces.

f (x) : The maximum height after xth bounce.

- The maximum height reached by the ball after its 7th bounce. So, x = 7:

f (7) = 18 (0.75) ^7

f (7) = 2.4027 ft

- To the nearest tenth:

f (7) = 2.4 ft