math

posted by gigi

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)=

  1. Steve

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

Respond to this Question

First Name

Your Answer

Similar Questions

  1. math

    Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water. …
  2. calculus

    Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water. …
  3. Calculus

    A tank contains 2920 L of pure water. A solution that contains 001 kg of sugar per liter enters a tank at the rate 4 L/min The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank initially?
  4. linear

    Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains x(t) pounds of salt in 200 gallons of brine, and tank B contains y(t) pounds of salt in 300 gallons of brine. The …
  5. linear algebra

    Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains x(t) pounds of salt in 200 gallons of brine, and tank B contains y(t) pounds of salt in 300 gallons of brine. The …
  6. CALC

    A 200-gallon tank is currently half full of water that contains 50 pounds of salt. A solution containing 1 pounds of salt per gallon enters the tank at a rate of 6 gallons per minute, and the well-stirred mixture is withdrawn from …
  7. Algebra

    A tank contains 150 gallons of water and fills at a rate of 8 gallons per minute. A second tank contains 600 gallons of water and drains at a rate of 10 gallons per minute. After how many minutes will both tanks have the same amount …
  8. Calc AB

    I've been trying to solve this problem for the past 45 minutes and could really use some help. I'm given that water flows into a tank at a rate of (5t+4) gallons/min. Water flows out of the tank at a rate of 0.5(t^2) gallons/min. At …
  9. calculus II

    A 100 gallon tank is being drained at a rate of 5 gallons per minute. A second tank containing 10 gallons of water is being filled at a rate of 4 gallons per minute. Can you find out when the two tanks will have the same amount of …
  10. Algebra Verbal Description

    You have a large tank filled with 175 gallons of water. The tank spring a leak and water is pouring out at a rate of 5 gallons per minute.

More Similar Questions