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The world’s population has grown at an average rate of 1.9 percent per year since 1945. There were approximately 4 billion people in the world in 1975.Which of the following functions represents the world’s population P, in billions of people, t years since 1975 ? (1 billion = 1,000,000,000)
  • a)
    P(t) = 4(1.019)t
  • b)
    P(t) = 4(1.9)t
  • c)
    P(t) = 1.19t + 4
  • d)
    P(t) = 1.019t + 4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The world’s population has grown at an average rate of 1.9 perce...
The world refers to the planet Earth and all life forms that inhabit it. It is a complex and diverse place, consisting of different ecosystems, countries, cultures, and societies. The world is home to over 7.9 billion people and is characterized by its vast landscapes, oceans, and natural resources.

The world is interconnected through various systems such as trade, communication, and transportation. It is influenced by global issues such as climate change, poverty, inequality, and political conflicts. The world also faces challenges in terms of sustainability, conservation, and the preservation of natural resources.

Despite these challenges, the world is also a place of immense beauty, diversity, and opportunity. It is a source of inspiration, innovation, and exploration. The world offers a wide range of experiences, from cultural festivals and historical landmarks to natural wonders and breathtaking landscapes.

As individuals, we have a responsibility to take care of the world and its resources. It is important to work together to address global challenges, promote peace and understanding, and strive for a sustainable future for all.
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The world’s population has grown at an average rate of 1.9 perce...
Choice A is correct. Because the world’s population has grown at an average rate of 1.9% per year since 1945, it follows that the world’s population has been growing by a constant factor of 1.019 since 1945. If the world’s population in 1975 was about 4 billion, in 1976 the world’s population would have been about 4(1.019); in 1977 the world’s population would have been about 4(1.019)(1.019), or 4(1.019)2; and so forth. Therefore, the world’s population, P(t), t years since 1975 could be represented by the function P(t) = 4(1.019)t.
Choice B is incorrect because it represents a 90% increase in population each year. Choices C and D are incorrect because they are linear models, which represent situations that have a constant growth.
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The world’s population has grown at an average rate of 1.9 percent per year since 1945. There were approximately 4 billion people in the world in 1975.Which of the following functions represents the world’s population P, in billions of people, t years since 1975 ? (1 billion = 1,000,000,000)a)P(t) = 4(1.019)tb)P(t) = 4(1.9)tc)P(t) = 1.19t + 4d)P(t) = 1.019t + 4Correct answer is option 'A'. Can you explain this answer?
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