Question

what is a doubling time? suppose a population has a doubling time of 10 years. by what factor will it grow in 20 years?

choose the correct definition of a doubling time below.

a. the time required for each doubling in linear growth.
b. the time required for each halving in linear growth.
c. the time required for each halving in exponential growth.
d. the time required for each doubling in exponential growth.

Explanation:

Define doubling time

Using the Exponential Growth knowledge point

• Doubling time is the time required for a quantity to double in size.
• This concept applies specifically to exponential growth, where the growth rate is proportional to the current value.

Evaluate the given options

• Option A: Mentions linear growth, which is incorrect because linear growth has a constant absolute increase, not a constant doubling time.
• Option B: Mentions halving and linear growth, which is incorrect.
• Option C: Mentions halving, which describes half-life, not doubling time.
• Option D: Correctly identifies the time required for each doubling in exponential growth.

Answer:

• A. The time required for each doubling in linear growth.
• B. The time required for each halving in linear growth.

<mcq-option>C. The time required for each halving in exponential growth.</mcq-correct>

• D. The time required for each doubling in exponential growth. (Correct answer)