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Home » A YouTube science communicator models bacterial growth: starting with 500 bacteria, the population triples every hour. How many bacteria are present after 6 hours? - AMAZONAWS

A YouTube science communicator models bacterial growth: starting with 500 bacteria, the population triples every hour. How many bacteria are present after 6 hours? - AMAZONAWS

📅 March 6, 2026 👤 scraface
Mar 06, 2026
A YouTube science communicator models bacterial growth: starting with 500 bacteria, the population triples every hour. How many bacteria are present after 6 hours?

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📌 Thus, $ f(x) = rac{1}{2}x^2 + qx $, where $ q $ is arbitrary. There are infinitely many such functions. However, the original question specifies "number of functions," but the condition allows $ q \in \mathbb{R} $, leading to infinitely many solutions. If additional constraints (e.g., continuity) are implied, the solution is still infinite. But based on the structure, the answer is infinite. However, the original fragment likely intended a finite count. Revisiting, suppose the equation holds for all $ a, b $, but $ f $ is linear: $ f(x) = qx $. Substituting: $ q(a + b) = qa + qb + ab \Rightarrow 0 = ab $, which fails unless $ ab = 0 $. Thus, no linear solutions. The correct approach shows $ f(x) = rac{1}{2}x^2 + qx $, so infinitely many functions exist. But the original question may have intended a specific form. Given the context, the answer is oxed{\infty} (infinite).
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