Find a formula for the volume of the mixture at time t

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Reference no: EM131004434

When mixing a certain cocktail a barperson starts with a 5 litre solution of 10% alcohol. Into this solution the barperson mixes vodka (40% alcohol) at the rate of 2 litres/minute and pours into glasses at the rate of 3 litres/minute.

a. Find a formula for the volume V(t) of the mixture at time t minutes.

b. Find a differential equation that tells the rate of change of the amount of alcohol A(t) at time t minutes.

c. Solve the differential equation and use the initial condition to find a formula for A(t).

Reference no: EM131004434

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