Answer:
In this situation, the height of the water in the cylinder is represented by the function h(x) = 3 + 0.25x, where x is the number of minutes.
To determine a reasonable range for this situation, you can consider the following:
The height of the water should increase as more time passes, so the range for x should be positive.
Since the height of the cylinder is 9 feet, the height of the water should not exceed 9 feet, so the range for h(x) should be between 0 and 9 feet.
Therefore, a reasonable range for this situation is:
x (time in minutes): x > 0 (positive values)
h(x) (height of the water): 0 ≤ h(x) ≤ 9 feet
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