A bacteria culture starts with 900 bacteria and the population doubles every 4 hours. Find an expression for the number of bacteria after t hours.
Sense there are 900 bacteria and every 4 hours it doubles, you would multiply for by x to get 34 sense that is a composite number, you would then subtract it from 900. Then just do 900-34+t-17. And there ya hav it. Oh! don't forget to right t as an expolentontion. (Delperdination)
Wow check your spellingation.(okaytion?)
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To find an expression for the number of bacteria after t hours, we need to understand how the population grows over time.
Given that the population doubles every 4 hours, we can use the exponential growth formula:
N(t) = N0 * 2^(t / h)
Where:
- N(t) is the number of bacteria after t hours.
- N0 is the initial number of bacteria.
- t is the time (in hours).
- h is the time it takes for the population to double.
In this case, the initial number of bacteria is 900, and the population doubles every 4 hours. Therefore, h is 4.
Plugging these values into the formula, we get:
N(t) = 900 * 2^(t / 4)
Thus, the expression for the number of bacteria after t hours is: N(t) = 900 * 2^(t / 4).