SOLUTION: How can I set up a related equation with the given information: "Water started leaking from a tank at noon and continued leaking at a constant rate for the next 6 hours. The vol

Question 946611: How can I set up a related equation with the given information:
"Water started leaking from a tank at noon and continued leaking at a constant rate for the next 6 hours. The volume of water in the tank at 6pm was 1/4 of the volume of water in the tank at noon. Find an equation that relates.
Where g = the number of gallons of water in the tank at noon,
t= the number of hours after noon
h = the number of gallons of water in the tank at t hours after noon"
Thanks!
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You are showing that you want this equation to be all in symbols, or almost all in symbols.

The leakage rate is , or the ratio of the amount of volume leaked to the time that the leaking occurred. Simplified, that is or . Before continueing this way, I am changing to 6=t, because otherwise I would confuse the further uses of the variables, including t. I am now choosing to use the known given constant value. The leak rate is .

This uniform rates problem seems to be a fairly simple linear equation application. For time t=0, the volume in the tank is h=g.
For time t=6 or anything more than zero (as long as not too large), the volume in the tank becomes .
Here, is a variable, greater than or equal to zero and less than or about equal to 8 hours. After about 8 hours, the tank would become empty, so no more leaking.
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