Look at the chart below:
Bounce: 0 ~ 1 ~ 2 ~ 3 ~ 4
----------------------
Height: 100 50 25 13 6
The ordered pairs are {(0,100), (1,50), (2,25), (3,13), (4,6)}
* How high do you think the ball will bounce on the 5th bounce? Explain.
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Since each bounce is about half the previous bounce, what would you think?
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To determine how high the ball will bounce on the 5th bounce, we can observe the pattern in the given chart.
From the given information, we can see that as the ball bounces, the height decreases. On the first bounce, the height is 100, and for each subsequent bounce, the height is approximately half of the previous bounce's height.
Let's analyze the pattern in terms of the ordered pairs. We can observe that for each bounce, the x-coordinate increases by 1, and the y-coordinate is roughly half of the previous y-coordinate.
Using this pattern, we can predict the height of the 5th bounce. Since the 4th bounce has a height of 6, we can expect the 5th bounce to have a height that is approximately half of 6. Thus, we predict that the ball will bounce to a height of around 3 units on the 5th bounce.
However, it is important to note that this prediction assumes the pattern continues and that the ball follows the same behavior as the previous bounces. In reality, there may be factors that can affect the height of the ball's bounce, such as air resistance or the condition of the surface it is bouncing on. Therefore, this prediction is only an estimation based on the given data and assumes no other external factors influence the ball's bounce.