A culture of bacteria grows in a lab according to the model B = 600e^(kt) where t is the measured in hours. The culture reaches
a size of 750 after 6 hours. Find the value of k.
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1 answer:
9514 1404 393
Answer:
k ≈ 0.03719
Step-by-step explanation:
Fill in the given numbers and solve for k.
750 = 600e^(6k)
1.25 = e^(6k)
ln(1.25) = 6k . . . . . take the natural log
k = ln(1.25)/6 . . . . . divide by 6
k ≈ 0.03719
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