To find the average rate of change of the height of water in the container from 2 hours to 5 hours, we can use the formula for average rate of change, which is:
\[ \text{Average Rate of Change} = \frac{\text{Change in Height}}{\text{Change in Time}} \]
We need to know the height of the water at 2 hours and at 5 hours. If we assume the table provides those heights, let’s denote "height at 2 hours" as \( h(2) \) and "height at 5 hours" as \( h(5) \).
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Find the heights:
- Suppose \( h(2) = h_2 \) (the height of water at 2 hours)
- Suppose \( h(5) = h_5 \) (the height of water at 5 hours)
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Plug the values into the formula:
\[ \text{Average Rate of Change} = \frac{h(5) - h(2)}{5 - 2} \] \[ = \frac{h_5 - h_2}{3} \]
- Calculate, once you have the values of \( h_2 \) and \( h_5 \).
Please provide the height values from the table if available, and we can continue with the calculations.