Which of the following best characterizes a population that is growing exponentially with time?

a) equal increase in number over equal time
b) controlled growth over a finite time
c) doubling in size over equal time
d) reaching a maximum then rapid decline

Doubling in size over equal time.

Explanation: Population exponential growth can be said to be an increase in the number by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.

For example, in 7² the factors are all 7, the power is 2 and the exponentiation gives 49.

This example is indicative of doubling in size.

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