Question

A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new substance is equal to the liters of pure acid divided by the liters of the new substance, or f(x)=x+60/x+300. Which statement describes the meaning of the horizontal asymptote?

A The greater the amount of acid added to the new substance, the more rapid the increase in acid concentration.
B The greater the amount of acid added to the new substance, the closer the acid concentration is to one-fifth.
C As more pure acid is added, the concentration of acid approaches 0.
D As more pure acid is added, the concentration of acid approaches 1.

Answer 1

Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.

Explanation:

Answer 2

C. As more pure acid is added, the concentration of acid approaches 0.

Explanation:

The given function is

`f(x)=(x+60)/(x+300)`

The graph of this function is attached. There you could see that the horizontal asymptote is the x-axis.

You can observe that the greater amount of acid, the more concentration.

Therefore, the answer that best fits the asymptote interpretation is

C. As more pure acid is added, the concentration of acid approaches 0.

Because, you can see that the greater x-variable is, y-variable approaches more to zero.