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

question 107

Multiple Choice

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

• A) 458.61 hr
• B) 49.83 hr
• C) 45.86 hr
• D) 35.86 hr
• E) none of these

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Definitions:

Time Study

A work measurement technique for recording the times of performing a certain specific task to establish the standard time for an activity.

Inequality

A mathematical statement that indicates a non-equal relationship between two expressions.

Plotting

The action of marking points on a graph based on coordinates or a function.

Quadrant

One of the four sections of the coordinate plane, each bounded by two axes.