The change for each consecutive time given is: 1
The change of each consecutive height given is: 0.35
The rate of change for the relationship between time and height is: 0.35
The table that displays the height of water when a pool is being filled against time is shown in the image attached. (See attachment).
Recall:
Rate of change can be calculated as: change in output / change in input
Change in output = difference between consecutive outputs
Change in input = difference between consecutive inputs
In the question given,
Time is input
Height is output
Thus:
Change for each consecutive input (time):
- 13 - 12 = 12 - 11 = 11 - 10 = 1
Therefore, the change of each consecutive input (time) is: 1
Change for each consecutive output (height):
- 4.8 - 4.45 = 4.45 - 4.1 = 4.1 - 3.75 = 0.35
Therefore, the change of each consecutive output(height) is: 0.35
Rate of change of the relationship between time and height:
Rate of change = change in height / change in time
Rate of change = 0.35/1 = 0.35
In summary:
The change for each consecutive time given is: 1
The change of each consecutive height given is: 0.35
The rate of change for the relationship between time and height is: 0.35
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