Question

Write an equation for the following scenario.

A colony of 36,000 bacteria grows continuously at a rate of 12%.

Answer 1

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Answer:

b(t) = 36000·e^(0.12t)

Explanation:

Continuous growth at a rate of r per time period is modeled by the exponential multiplier e^(rt), where t is the number of time periods. This value multiplies the initial amount (at t=0). In this case, the model would be ...

b(t) = 36000·e^(0.12t)

where b(t) is the number of bacteria in the colony after t time periods.