# math

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. 👍 0
2. 👎 0
3. 👁 1,583
1. Watch the amount of sugar and water:
c(t) = (6+t)/(100+20t)
Now you can answer the question.

1. 👍 1
2. 👎 0

## Similar Questions

1. ### Physics II

A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supported 8.75 m above the ground by a stand. The water level in the tank is 10.6 m deep. The density of the water in the tank is 1.00 g/cm3. A very small hole

2. ### algebra

Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.2. With 52 gallons of fuel in its tank, the

3. ### AP Calc. AB

If a cylindrical tank holds 100,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after t minutes as V(t)=100,000(1-(t/50))^2,

4. ### math

A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution containing 50% water and 50% alcohol is added to the tank at rate of 4 gallons per minute. As the second solution is being added,

1. ### math

A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then

2. ### chemistry

a fish tank holds 35 gallons of water. how many pounds of water are in the fish tank?

3. ### math

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 18 gallons of fuel, the airplane weighs 2199 pounds. When carrying 44 gallons of fuel, it weighs

4. ### 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1 pounds of salt per gallon enters the tank at a rate of 6 gallons per minute, and the well-stirred mixture is withdrawn from

1. ### algebra

The number of gallons of water, y , in a tank after x hours may be modeled by the linear equation y = 800 - 50x . Which of the following statements about the tank is true? It is filling at a rate of 50 gallons per hour. • It is

2. ### geometry

a spherical water storage tank has a radius of 10ft. A cubic foot of water is about 7.5 gallons. How many gallons of water will the tank hold?

3. ### math

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 10 gallons of fuel, the airplane weighs 2026 pounds. When carrying 25 gallons of fuel, it weighs

4. ### CALCULUS

Water is draining from a small cylindrical tank into a larger one below it. The small cylindrical tank has a radius of 4 feet and a height of 6 feet; the large cylindrical tank has a radius of 8 feet and a height of 16 feet. The