I. A large mixing ta 75 gallons of water into which 5 pounds of sugar have been

Question

I. A large mixing ta 75 gallons of water into which 5 pounds of sugar have been tap will open pouring 10 gallons per minute of water into the tank at the same time sugar is mixed. A poured into the tank at a rate of 1 pound per minute. Find the concentration in the tank after 15 minutes. Is that a greater concentration than at the beginning? (pounds per gallon) of sugar An oil company estimates that the cost, C, in dollars, of cleaning up x percent of an oil spill can be modeled by the equation C = 100-x, where 0 x

Explanation / Answer

1. Initial concentration of sugar = 5/75 = 0.06667 pounds/gallon

After 15 mins total volue of water = 75 + 15*10 = 225 gallons

total mass of sugar after 15 mins = 5 + 15*1 = 20 pounds

Final concentration = 20/225 = 0.08889 pounds/gallon, which is more than the initial concentration

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