A 6 kg sample of a certain mixture contains 4 kg of tin and 2 kg of copper. A chemist decides to study the properties of this mixture. Suppose x represents the quantity of copper, in kg, the chemist adds to the mixture. Let f(x) be the fraction of the mixture’s mass composed of copper; that is, the ratio of the mass of copper to the total mass.
a. Fill in the blank with a formula for f in terms of x.
f(x)=_____________________________________________
b. Fill in the blank with a value given to 2 decimal places: f(0.6)=___________.
c. Interpret what your answer to part c for the value of f(0.6) means in terms of the metal mixture.
d. Find the equation of any horizontal asymptote for the function f(x).
e. If there is a horizontal asymptote, then interpret its meaning in terms of the mixture. If there is not, then you can skip this part.
