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A large mixing tank currently contains 100 gallons of water into which 6 pounds of sugar have been mixed. A tap will open pouring 20 gallons per minute of water into the tank at the same time sugar is poured into the tank at a rate of 1 pound per minute. Find the concentration (pounds per gallon) of sugar in the tank after 10 minutes. Is that a greater concentration than at the beginning?

Write a function that models this:

C(t)=

What will the concentration be in 10 minutes?


C(10)=

  • math -

    Watch the amount of sugar and water:
    c(t) = (6+t)/(100+20t)
    Now you can answer the question.

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