Final answer:
To calculate the average number of bacteria in a population over a certain period, an exponential growth model is needed. Exponential growth, doubling times, and precise rounding rules are central concepts. The number of atoms in a bacterium can be determined by dividing the mass of the bacterium by the mass of an average bacterium atom.
Step-by-step explanation:
Evaluating Bacterial Growth
To find the average number of bacteria in a population for 0 ≤ t ≤ 10 (where t is time), we would need to have an expression that models the growth of the bacteria over time. For exponential growth, this could be in the form of N = N0 * 2j, where N0 is the initial amount of bacteria, and j represents the number of generations (doubling times). In an unrealistic scenario where bacteria double every minute, a one-liter jar initially containing a sufficient number of bacteria to be full at 24 hours, would be half full at 23:59.
When dealing with growth over a 10-year period using a compounded growth rate, we can use an equation like M = N0 * bn, with b as the base growth rate per period, and n as the number of periods. Applying this equation can tell us the growth over the years. Additionally, to ensure precise values, rounding off numbers is essential following the correct rounding rules.
For questions like calculating the number of atoms in a bacterium, we would use the mass of the bacterium divided by the average mass of an atom in the bacterium, assuming it is ten times that of a hydrogen atom. Based on the provided masses, the calculation would yield the approximate number of atoms in a bacterium.