- #1
MartynaJ
- 19
- 1
- Homework Statement
- After a train derailment in Northern Ontario, the concentration, C, in grams per litre, of a pollutant after t minutes in a 5 000 000 L pond can be modelled by the function C(t)=30t/(200 000+t) where a pollutant concentration of 30 g/L flows into the pond at a rate of 25 L/min.
1) When a concentration level of 0.05 g/L in the pond is reached, the fish stock will be irreversibly damaged. When will this occur?
2) What happens to the concentration over time?
- Relevant Equations
- See above please
This is my attempt so far:
- ##0.05=\frac{30t}{200000+t}## then I solved for t. And I got 333.88 min. I feel like this is way too simple of a solution and I didn't use all of what's given in the problem.
- For part 2 of the problem it asks, what happens to the concentration over time. I tried to graph the equation and my graphs appears to have a slope of zero. But if I divide the numerator and denominator by time, I get: ##C(t)=\frac{30}{\frac{200000}{t}+1}##, then making t--> infinity, the 200000/t will approach zero and the concentration will be 30.
Thanks
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