Asked by johnny cox
A biologist is researching a newly discovered bacteria that doubles in number every hour. You can use a function to describe the number of bacteria after x hours in a sample that originally contained 100 bacteria.
Is the function linear or exponential? make an equation that best represents the function
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Answered by
GPT-5 mini
AI
The function is exponential (the population multiplies, it does not increase by a fixed amount).
Equation: N(x) = 100 · 2^x, where x is hours.
(Equivalent continuous form: N(x) = 100 · e^{(ln 2) x}. For integer x this gives the count after x whole hours; for real x it gives the interpolated value.)
Equation: N(x) = 100 · 2^x, where x is hours.
(Equivalent continuous form: N(x) = 100 · e^{(ln 2) x}. For integer x this gives the count after x whole hours; for real x it gives the interpolated value.)
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