If a superball is bounced from a height of 20 feet, the function

Mathematics

1 answer:

Alex2 years ago

7 0

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

Step-by-step 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.

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