A Population of 620 Bacteria Is Introduced into a Culture $P ( t ) = 620 \left( 1 + \frac { 4 t } { 34 + t ^ { 2 } } \right)$

question 94

Multiple Choice

A population of 620 bacteria is introduced into a culture and grows in number according to the equation $P ( t ) = 620 \left( 1 + \frac { 4 t } { 34 + t ^ { 2 } } \right)$ where $t$ is measured in hours. Find the rate at which the population is growing when $t = 2$ . Round your answer to two decimal places.

• A) \(226.7\) bacteria per hour
• B) \(68.89\) bacteria per hour
• C) \(65.26\) bacteria per hour
• D) \(51.52\) bacteria per hour
• E) \(61.23\) bacteria per hour

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