Problem 97 of 7
Build a net-change model from inflow I(t)=12t and outflow O(t)=5t for water entering and leaving a tank.
Hints
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subtract competing rates or amounts.
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Net model must subtract outflow from inflow or cost from revenue.
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Solution
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1. Identify which function adds to the quantity and which removes from it.
2. Subtract outflow from inflow.
3. Simplify the expression.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Reversing subtraction unless interpretation matches.