A scientist measures the growth of a bacterial culture. The culture doubles in size every hour. If the initial size of the culture is 100 units, what will be its size after 8 hours?

["The Science Behind Bacterial Growth: How a Culture Doubles Every Hour", "Understanding bacterial growth is fundamental in microbiology, and one of the most striking phenomena is exponential growth. When conditions are ideal, certain bacteria double their population at regular intervals—most commonly every hour. This rapid proliferation has significant implications in medicine, food safety, and biology research.", "In a controlled experiment, if a bacterial culture begins with an initial size of 100 units and doubles every hour, scientists can predict its size using exponential growth calculations. After 1 hour, the culture grows to 200 units; after 2 hours, 400 units; and so on—each hour multiplying by two.", "Mathematically, this growth follows the formula:", "[ N = N_0 \ imes 2^t ]", "Where:\n- ( N ) = final size after time ( t )\n- ( N_0 ) = initial size = 100 units\n- ( t ) = time in hours", "After 8 hours, substituting the values:", "[ N = 100 \ imes 2^8 ]\n[ N = 100 \ imes 256 ]\n[ N = 25,600 ]", "So, after 8 hours, the bacterial culture will reach 25,600 units in size.", "This exponential pattern illustrates why bacterial infections can escalate quickly if untreated and why timely interventions are critical. Moreover, such measurements help scientists model growth rates, test antibiotics, and understand microbial behavior in ecosystems.", "In summary, doubling every hour transforms a small sample into a substantial population in a short time, demonstrating the power and speed of microbial life—insights vital for both science and public health."]