Given the following growth equation, which of the following is true? dN/dt = rN(

Question

Given the following growth equation, which of the following is true? dN/dt = rN(l-N/K) Population growth rate is density-dependent. When .N is low relative to K, the population growth rate decreases. K changes with population density (N). When N is high relative to K, the population growth rate increases. Refer to the figure attached below. Which of the following best describes the exponential growth trend? Birthrates are increasing. Population growth is density-dependent. Death rates are decreasing. Larger populations have higher growth rates. It takes less tune for smaller populations to increase in size. Which of the following is true about competition and survival? Population density increases competition, which results in delayed age at sexual maturity in short-lived organisms. Resource availability- doesn't impact the probability of survival of individuals. Competition only exists when it impedes growth, survival, or reproduction of individuals. Competition is density-dependent, where as survival is density independent.

Explanation / Answer

1. Population growth rate is the change in population size (increase or decrease) within a given time period. The population growth rate is calculated by the below formula,

dN/ dT = r N(1- N/K)

Where, N = population density or population size

K = carrying capacity

r = maximum per capita growth rate.

From the formula, we can say that the rate of population growth is dependent on population density (N). Growth rate is maximum at N = K/2

Thus, the correct option is, a. a population growth rate is density-dependent.

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