Question

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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Answer 1

9514 1404 393

Answer:

k ≈ 0.03719

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