Answer :
Final answer:
The ball loses around 40% (or 2/5) of its previous bounce's height with each subsequent bounce. So, option B is correct.
Explanation:
This problem involves exponential decay in height for each bounce of the ball, and can be solved mathematically. The ball initially drops from a height of 6.25 metres, and after 3 bounces, it reaches a height of 40cm, which is equivalent to 0.4 metres. Because the height the ball reaches after each bounce is directly proportional to the height it reached on its previous one, by a factor we'll call F, then we can express its height after 3 bounces like this: **6.25 * F^3 = 0.4**.
To find F, the multiplying fraction, solve for F by taking the cube root of (0.4 / 6.25) = F, which rounds to **0.4**. So, the ball loses around 40% of its height with each bounce, which fits with choice B. 2/5, equal to 0.4 when expressed as a decimal.
Learn more about Exponential Decay here:
https://brainly.com/question/12900684
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