A species of bacteria grows exponentially and doubles in population size every hour. Which of the following is the formula you would use to represent this growth if the original population was 100 bacteria?

Question

A. 100 = ƒ(x)2
B. 100 = ƒ(x)100
C. ƒ(x) = 2100
D. ƒ(x) = 1002

Answer 1

D. ƒ(x) = 100(2^x)

This formula represents exponential growth where the population doubles every hour. The initial population of 100 bacteria is represented by 100, and the exponential growth rate of doubling is represented by 2^x, where x is the number of hours.