Questions: When the population doubles during each given unit of time, the growth is (A) Iinear. (B) geometric. (C) semilogarithmic (D) arithmetic (E) Exponential

When the population doubles during each given unit of time, the growth is (A) Iinear. (B) geometric. (C) semilogarithmic (D) arithmetic (E) Exponential
Transcript text: When the population doubles during each given unit of time, the growth is (A) Iinear. (B) geometric. (C) semilogarithmic (D) arithmetic (E) Exponential
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Solution

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The answer is (E): Exponential.

Explanation for each option:

(A) Linear: Linear growth implies a constant increase by the same amount in each time period. This is not the case when the population doubles, as the increase is not constant but rather multiplicative.

(B) Geometric: Geometric growth involves a constant ratio between successive terms, which is similar to exponential growth. However, in the context of population doubling, the term "exponential" is more commonly used to describe this type of growth.

(C) Semilogarithmic: Semilogarithmic growth refers to a situation where one variable grows exponentially while the other grows linearly. This does not describe the scenario of population doubling.

(D) Arithmetic: Arithmetic growth involves a constant addition to the population in each time period, similar to linear growth. This does not match the doubling pattern described.

(E) Exponential: Exponential growth is characterized by a constant rate of growth, leading to the population doubling in each time period. This matches the description given in the question.

In summary, when the population doubles during each given unit of time, the growth is exponential.

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