Question

Initially, 40 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 11 hours. How can this information be interpreted? Select True or False for each statement. Statement True False The scenario can be modeled by the function f(x)=40(3)x11, where f(x) represents the population of bacteria x hours after the bacteria are placed in the Petri dish. True – The scenario can be modeled by the function , f(x)=40 (3)^(x/11) where f(x) represents the population of bacteria x hours after the bacteria are placed in the Petri dish.

Answer 1

The expression f(x) = 40 + (3x/11) represents the population of bacteria after [x] hours.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are 40 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 11 hours.

Initial population = 40

In 11 hours → 3 times the initial population.

In 1 hour → (3/11) times the initial population.

In x hours → (3x/11) times the initial population.

Total population after [x] hours -

f(x) = 40 + (3x/11)

Therefore, the expression f(x) = 40 + (3x/11) represents the population of bacteria after [x] hours.

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