Which of the following functions would best model the situation above?

Ron is conducting an experiment on the growth of bacteria after a certain number of hours in a petri dish. The number of bacteria, a, gradually increases over 8 hours to an amount, b, several hundred thousand times greater than

a. logarithmic

b. absolute value

c. step

d. polynomial

Question

Brooklyn Oconnor

Mathematics

8 May, 03:30

Which of the following functions would best model the situation above?

Ron is conducting an experiment on the growth of bacteria after a certain number of hours in a petri dish. The number of bacteria, a, gradually increases over 8 hours to an amount, b, several hundred thousand times greater than

a. logarithmic

b. absolute value

c. step

d. polynomial

+3

Answers (2)

Know the Answer?

Aryanna Hatfield · Answer 1

Usually bacteria expansion is modeled with exponential function.

Absolute value is not the correct answer since it models linear growth.

Logarithmic is not the correct answer since it has an asymptote in the direction of the x axis.

I will answer to this question "Polynomial" since it is likely to represent bacteria growth.

Victoria Carey · Answer 2

We have a function that models the problem in the following way.

N = a (b) ^ 8.

Where,

a = number of bacteria initially.

b = growth of bacteria per hour.

8 = eight hours.

answer:

d. polynomial