SOLUTION: A bacterial culture has an initial population of 10,000. If its population declines to 5000 in 8 hours, when will its population be 4204? Assume that the population decreases acc

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Question 1115079: A bacterial culture has an initial population of 10,000. If its population declines to 5000 in
8 hours, when will its population be 4204? Assume that the population decreases
according to the exponential model.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y=Ie%5E%28-kx%29

10000e%5E%28-8k%29=5000

k=-ln%281%2F2%29%2F8

k=0.08664

MODEL: y=10000e%5E%28-0.08664x%29

Use the model, let y=4204, and solve for x.
highlight%28x=10%29