Question

at time t = 0 a 1500 gallon tank contain 1000 gallons of old water. new water flows in at a rate of g(t) = k(e^t)/(0.5+e^t) gallons/hour, but the water is pumped out at at rate of 80 gallons per hour. set the constant K so taht the tank is neither overlflows nor runs dry for the next 100 days(2400 hours)

Answer 1

Let's start by drawing a picture. Here is mine.