Look at the Chart below: Then answer the question.
Bounce: 0, 1, 2, 3, 4
Height: 100, 50, 25, 13, 6
(cm.)
Ordered pairs: {(0,100), (1,50), (2,25), (3,13), (4,6)}.
* How high do you think the ball will bounce on the 5th bounce? Explain.
Please Help!!
Thank you!!
Look at the pattern.
The height of the bounce each time is about half the height of the previous bounce.
What do you think?
will the height of the next bounce be about 3?
Thanks!
Right!
To determine how high the ball will bounce on the 5th bounce, we can observe the pattern given in the chart. The chart shows the relationship between the number of bounces and the corresponding height of the ball.
Looking at the chart, we can see that each bounce corresponds to a decrease in height. Specifically, for each bounce, the height is halved. For example, from the first bounce to the second bounce, the height decreases from 100 cm to 50 cm. From the second bounce to the third bounce, the height decreases from 50 cm to 25 cm, and so on.
Using this pattern, we can predict the height of the 5th bounce. Since the height is halved with each bounce, we can continue the pattern from the 4th bounce:
4th bounce height: 6 cm (given in the chart)
5th bounce height: 6 cm / 2 = 3 cm
Therefore, based on the pattern observed in the chart, we can predict that the ball will bounce to a height of 3 cm on the 5th bounce.
It's important to note that this prediction assumes the pattern will continue to hold true for future bounces.