Differential Equations and Population Growth

Charles Pate

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Answer the questions below and then click "submit" to send your answers.

  1. What type of equation is used to represent a rate of population growth that is directly proportional to the size of the population?
  2. Your answer:
    Quadratic equation
    Additional equation
    Differential equation


  3. A population of grasshoppers grows at a rate that is directly proportional to the number present. The monthly rate of population growth is equal to 12% of the amount present. Initially there are 74 grasshoppers. How many grasshoppers will there be in 2 months?
  4. Your answer:
    95
    85
    816


  5. A population of bacteria grows at a rate that is directly proportional to the number present. Initially there are 800 bacteria present. After 3 hours, there are 1,040 bacteria present. How many bacteria will be present after 7 hours?
  6. Your answer:
    1,476
    874
    1,919


  7. A population of bacteria grow at a rate that is directly proportional to the number present. Initially there are 120 bacteria. After 4 hours there are 310 bacteia. In how many hours will it take the bacteria population to reach 600? Round your answer to the nearest tenth.
  8. Your answer:
    21.1
    27.0
    6.8



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