acetic acid solution is added to liters of a acetic acid solution in a -liter tank, the concentration of the total solution changes.

(a).

The concentration of the total solution is the sum of the amount of acetic acid in the original liters and the amount in the a liters of the solution, divided by the total amount of solution..

.

Multiply the numerator and denominator with .

.

Therefore the concentration of the solution is .

(b).

Since  cannot be negative and the maximum capacity of the tank is liters, the relevant domain of is  .

The horizantal asymptote is at because acetic acid solution is added to liters of a acetic acid solution in a -liter tank. \ \

The horizantal asymptote is at .

(c).

The tank already has  liters of solution in it and it will only hold a total of liters, the amount of solution added must be less than or equal to  liters.

It is also impossible to add negative amounts of solution, so the amount added must be greater than or equal to .

As you add more of the solution, the concentration of the total solution will get closer to .

But the solution in the tank has a lower concentration, the concentration of the total solution can never reach .

Therefore, there is a horizontal asymptote at .

(d).

Yes, the function is not defined at .

As the concentration can never be negative, the asymptote does not pertain to the function.

If there were no domain restrictions, there would be a vertical asymptote at .

(a). The concentration of the solution is .

(b).

Domain of is .

Horizantal asymptote is at .

(c). Horizantal asymptote is at . \ \

(d). Yes.

If there were no domain restrictions, there would be a vertical asymptote at .