A company makes iced tea. They have a large mixing tank into which they pour hot tea and sugar. The volume of the hot tea as a function of time is given by:
V(t) = 2t^4 + 8t^3 - 6t^2 + 36t + 40
where t is given in seconds and V(t) is given in cubic inches. The amount of sugar poured into the mixing tank is given by:
S(t) = t^2 + 6t + 9
where t is time in seconds and S(t) is the amount of sugar in pounds.
Q1.1 4 Points
Find an expression which represents concentration as a function of time: