Question

for their final chemistry project at louisiana university, nodin and peyton dissolve 112 grams of salt in a vat containing 19 liters of water. then they add water at a rate of 3 liters of water per minute until the concentration reaches 2 grams/liter. the volume of water after t minutes is given by v(t)= liters.

Explanation:

Step1: Identify the initial volume

The initial volume of water is \(19\) liters.

Step2: Consider the rate of adding water

Water is added at a rate of \(3\) liters per minute. After \(t\) minutes, the volume of added water is \(3t\) liters.

Step3: Form the volume function

Using the formula \(V(t)=\text{Initial volume}+\text{Volume added}\), we get \(V(t)=19 + 3t\).

Answer:

\(V(t)=19 + 3t\)