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One hundred bacteria is started in a culture.

The number of bacterial counted in each hour for $\"\"$ .

(a)

Graph the data using regression capabilities:

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Observe the graph:

The exponential model equation is $\"\"$ .

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(b) Use the model to estimate the time required for the population to quadruple in size.

The exponential model equation is $\"\"$ .

The population to quadruple in size is $\"\"$ .

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Apply natural logarithm on each side.

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$\"\"$ .

The time required for the population to quadruple in size is $\"\"$ .

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(a) The exponential model equation is $\"\"$ .

(b) The time required for the population to quadruple in size is $\"\"$ .