A water tank contains 50 ,kg of salt dissolved in 200 ,L of water

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A water tank contains 50\,kg of salt dissolved in 200\,L of water. At that instant, salt is being added at 3\,kg/min and water is flowing in at 5\,L/min. The concentration is

C(t)=\dfrac{m(t)}{V(t)}

kg/L. Calculate

\dfrac{dC}{dt}

at that instant, including appropriate units.

Related theory

Rates of Change
Related Rates

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