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

question 19

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 two million bacteria.

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Definitions:

Sparkline Chart

A mini-chart embedded within a cell in a spreadsheet to show a visual summary or trend.

Absolute Cell Reference

In spreadsheet applications, a cell reference that remains constant even if the formula is copied to a different location.

Nested IF

In programming and spreadsheet formulas, a condition within another IF statement, allowing for multiple conditions to be tested in sequence.

Clustered Column Chart

A type of chart in Excel that groups similar data in columns that are clustered together, useful for comparing multiple categories.