This question is not complete because the function given was not correctly written.
Complete question:
If a Super ball is bounced from a height of 20 feet, the function F(x) = 20(0.9)ˣ gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 6th bounce? Round your answer to the nearest tenth of a foot.
Answer:
The height of the ball after the sixth bounce to the nearest tenth of a foot = 10.6 feet
Explanation:
Function representing the height of a ball in the question
F(x) = 20(0.9)ˣ
x= number of times which the ball has been bounced In the question, we are given x as 6 times
The height after the 6th bounce is calculated as =
F(x)= 20(0.9)ˣ
F(x) = 20(0.9)⁶
F(6) = 20 × 0.531441
F(6) = 10.62882 feet
Approximately to the nearest tenth = 10.6 feet.
Therefore, the height of the ball after the 6th bounce in feet to the nearest tenth is 10.6 feet.