Question

The population of a bacteria culture after t hours is given by P = 400 - 8t2. What is the rate of change at 6 hours?
1. 0
2. -56
3. -96
4. -48

Answer 1

The rate of change at 6 hours is -96

How to determine the rate of change?

The function is given as:

P = 400 - 8t^2

Differentiate the function

P' = -16t

Set t = 6

P' = -16 * 6

Evaluate

P' = -96

Hence, the rate of change at 6 hours is -96

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