A Certain Strain of Bacteria Divides Every Three Hours $t = 3 \frac { \log ( N / 50 ) } { \log 2 }$

question 14

Short Answer

A certain strain of bacteria divides every three hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by $t = 3 \frac { \log ( N / 50 ) } { \log 2 }$ Find the time required for the colony to grow to five million bacteria.

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Definitions:

Collude

When two or more firms or entities agree to work together, typically secretly and illegally, to fix prices, rig bids, or form a monopoly to eliminate competition and increase profits.

Profit Margins

A financial metric that represents the percentage of revenue that exceeds the costs involved in producing goods or services.

Prisoners' Dilemma

A scenario in game theory showing why two rational individuals might not cooperate even if it's in their best interest to do so.

Collusive Agreement

An arrangement among competing firms to coordinate actions or fix prices, often in secret, to limit competition.