Set up initial value problems for the following situations.You do NOT have to solve the equations, just set them up:

1. A population of bacteria doubles every 2 hours. Initially there are 500 bacteria in the sample. Include an initial value problem for the number of bacteria at timet

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2. A cup of tea with temperature 95 degrees F is brought into a room that is 65 degrees F. Include an initial value problem for the temperature of the tea at timet

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3. A 50 liter tank is initially filled to the top with pure water. A brine solution containing 2 grams per liter of salt is continuously poured into the tank at 0.5 liters per hour, mixed well, and then the mixture drains from the bottom at the same rate. Include an initial value problem for the amount of salt in the tank at timet

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Make sure you identify what your variables are, butdo not solve the equations!