The expression f(x) = 40 + (3x/11) represents the population of bacteria after [x] hours.
<h3>What is Equation Modelling?</h3>
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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