Where, A: initial population b: growth rate x: time in hours y: population after x hours We must find the values of A and b, for this we use the following data: After 1 hour, the population is 18:
After 2 hours, the population is 27:
We have a system of two equations with two unknowns Dividing equations we have:
Substituting b in equation 1 we have:
Clearing A we have:
So, the function is: Answer:
A function that best describes the relationship between the time, in hours, and the population of the bacterium is: C: EXPONENTIAL
the y-intercept of the function: B: 12
the rate of change of the function: C: MULTIPLY 1.5