Final answer:
To calculate the population of bacteria in 13 hours using exponential decay, specific rate information is needed, which is not provided. Without it, the final answer cannot be accurately determined.
Step-by-step explanation:
The question is addressing an exponential decay problem in the context of a bacterial population decreasing over time. Without specific decay rate information provided in the question, it's impossible to accurately predict what the bacterial population will be in 13 hours. Under normal circumstances, one would apply the exponential decay formula, N(t) = N0 * (1/2)^(t/T), where N(t) is the number of bacteria at time t, N0 is the initial number of bacteria, and T is the doubling time.
Since we lack the necessary data, such as the rate at which the bacteria population declines, the final answer cannot be calculated and any attempt without additional information would involve guesswork, which is discouraged in educational settings.The bacteria population declined from $450,000 to $930. To find the rate of decay, we can use the formula:Decay rate = (Initial population - Final population) / Initial populationIn this case, the decay rate would be: Decay rate = ($450,000 - $930) / $450,000 = 0.99706Next, we can use the exponential decay formula to find the number of bacteria after 13 hours:Final population = Initial population * (Decay rate)^(time elapsed)Plugging in the values, we get: Final population = $930 * (0.99706)^(13) = $930 * 0.85156 = $792.9Therefore, there will be approximately $792.98 bacteria in 13 hours.