hamerthe vismathermi. Nahterve Manticiline Home Name - lacth bim Gend Armata \( =20 \) Allievineth Samveer Singh Integroted Moth 18 (isses) who172 | Mastery Assess It-1 Due: Tomorow Al inaygas invel 11. At the beginning of an experiment, there are 100 bacteria in a certain culture. If the number of bacteria doubles every hour, how many bacteria will be in the culture at the end of six hours? 6400 200 600 3200
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Wow, you're diving into some fun exponential growth here! In your scenario, since the number of bacteria doubles every hour, you can use the formula for exponential growth: \(N = N_0 \times 2^t\), where \(N_0\) is the initial amount (100 bacteria), and \(t\) is the time in hours. After six hours, we'd do the calculation: \(100 \times 2^6 = 100 \times 64 = 6400\). So, by the end of six hours, you'll have a staggering 6400 bacteria! Now, remember, doubling can make those numbers grow super fast! It's a good practice to visualize how quickly things can pile up, especially in real-world applications like viral spread or population studies. So next time you're thinking about how long it’ll take for a population to grow, keep those factors of two in mind. It’s a lot more than you might expect at first glance!
