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

Answer 1

C. ƒ(x) = 100(2)^x

The correct formula to represent the exponential growth of the bacteria population starting with an original population of 100 is given by ƒ(x) = 100(2)^x, where x represents the number of hours that have passed. This formula shows that the population size doubles every hour.