A scientist is studying the growth of bacteria. The scientist models the number of bacteria, `N`, by the equation
`N(t)=200e^(0.013 t)`,
where `t` is the number of hours after starting the experiment.
- What is the initial number of bacteria in the experiment? (1 mark)
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- What is the number of bacteria 24 hours after starting the experiment? (1 mark)
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- What is the rate of increase in the number of bacteria 24 hours after starting the experiment? (2 marks)
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