The rate of change of a population for a species is given by $\frac{d P}{d t}=0.05$ where P measures the population in thousands at time t months.The species starts with 1000 members (P = 1)at time t = 0.Assume that the differential equation holds indefinitely.Which of the following is a graph of the population as a function of time?

Question

The rate of change of a population for a species is given by $\frac{d P}{d t}=0.05$   where P measures the population in thousands at time t months.The species starts with 1000 members (P = 1)at time t = 0.Assume that the differential equation holds indefinitely.Which of the following is a graph of the population as a function of time?

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The Answer of The rate of change of a population for a species is given by $\frac{d P}{d t}=0.05$   where P measures the population in thousands at time t months.The species starts with 1000 members (P = 1)at time t = 0.Assume that the differential equation holds indefinitely.Which of the following is a graph of the population as a function of time?

The Rate of Change of a Population for a Species dPdt=0.05\frac{d P}{d t}=0.05dtdP​=0.05

The Rate of Change of a Population for a Species $\frac{d P}{d t}=0.05$