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hammer [34]
2 years ago
12

Check for Understanding

Mathematics
1 answer:
Lapatulllka [165]2 years ago
3 0

Answer:

0.11 feet

Step-by-step explanation:

Every bounce, the ball bounces to 75% of its previous bounce, so the first few bounces will give us heights of

20 ft (0 bounces)

20 × 0.75 = 15 ft (1 bounce)

20 × 0.75 × 0.75 = 11.25 ft (2 bounces)

We can express the continued multiplication by 0.75 as an exponent, so that after the nth bounce, the ball will bounce 20(0.75)^{n} feet. Plugging in 18 for n gets us

20(0.75)^{18}\approx 0.11 feet.

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