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20heldmadison
08.04.2020 •
Mathematics
A tennis ball is dropped from a height of 80 feet. After the first bounce, the ball reaches a height of 48 feet. After the second bounce, the ball reaches a height of 28.8 feet. After the third bounce, the ball reaches a height of 17.3 feet. Each time the ball hits the ground it only bounces up to 60% of the original height. By what factor is the ball's height changing after each bounce?
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Ответ:
The factor is 0.60
Step-by-step explanation:
we know that
The expression that model this situation is a exponential equation of the form
where
h is the height of the ball in feet
x is the number of bounces
a is the initial height
b is the factor
we have
so
Verify
First bounce
For x=1
Second bounce
For x=2
Third bounce
For x=3
therefore
The factor is 0.60
Ответ: