Calculus 2 A Petri dish is being filled with a culture of microorganisms that mu

Question

Calculus 2

A Petri dish is being filled with a culture of microorganisms that multiply according to the rule: each second each single microorganism splits in two. 1. 1 second Assume some external food supply and toxin removal that sustains this exponential growth even when the dish is next-to-filled. After exactly one hour the dish is half-filled. How much longer do we have to wait for the entire dish being filled? Circle the correct response. a. one more hour b. thirty more minutes c. on d. not enough information to tell e more second 1 hour how long?

Explanation / Answer

1)one more second

in one hour the dish is half filled

the remaining dish will be filled in one more second because the microorganisms double every 2 seconds

(double number of microorganisms occupy bouble the volume occupied by original number of microorganisms)

2)one more second

in one hour the dish is one third filled

the remaining dish will be filled in one more second because the microorganisms triple every 3 seconds (triple number of microorganisms occupy triple the volume occupied by original number of microorganisms)

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