The population, $P$, of a newly discovered species of bacteria in a petri dish is modeled by the equation $P(t) = 100e^{kt}$, where $t$ is the time in hours since the bacteria were introduced and $k$ is a constant. After 2 hours, the population is observed to be 300.
a. Find the exact value of $k$.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 2 marks, testing your understanding of Inverse Functions. It falls under Algebra, number and structure in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers algebra of functions, inverse functions, and solutions of equations and systems of equations.
functions and their inverses, including conditions for the existence of an inverse function, and use of inverse functions to solve equations involving exponential, logarithmic, circular and power functions
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