For a Certain Strain of Bacteria, the Number of Bacteria

question 10

Multiple Choice

For a certain strain of bacteria, the number of bacteria present after t hours is given by the equation Q = Q _oe^{0.34 t} where Q _o represents the initial number of bacteria. How long will it take 400 bacteria to increase to 4,000 bacteria? Express answer to the nearest tenth.

• A) t = 19.9 hours
• B) t = 0.3 hours
• C) t = 6.8 hours
• D) t = 2.3 hours

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Definitions:

Lower Quartile

The value below which 25% of the data falls, marking the lower end of the middle 50% of a dataset.

Median

The middle value in a list of numbers, which separates the higher half from the lower half.

Standard Deviation

A metric that quantifies the degree to which values in a collection vary from the average value of the group.

IQR

The interquartile range, a measure of statistical variability between the 25th and 75th percentiles.