Questions: We could use the magic of math to save this plot! What function would help you visualize all the values on the same plot and show that the bacteria were growing between each of the measurements? a) Square root of measurements b) Take logarithm of measurements c) Multiply values with a constant d) Divide measurements with a constant

Solution Steps

The question asks which function would help visualize all the values on the same plot and demonstrate that the bacteria were growing between each measurement. The options involve transformations of the measurements.

• Option a) Square root of measurements: Taking the square root compresses the scale of larger values, which might not clearly show growth trends.
• Option b) Take logarithm of measurements: Logarithmic transformations are often used to visualize exponential growth, which is common in bacterial growth. This transformation can linearize exponential trends, making growth easier to observe.
• Option c) Multiply values with a constant: Multiplying by a constant scales the data but does not change the relative differences between measurements, so it does not help in visualizing growth trends.
• Option d) Divide measurements with a constant: Dividing by a constant also scales the data but does not help in visualizing growth trends.

The logarithmic transformation (Option b) is the most appropriate because it can linearize exponential growth, making it easier to visualize and confirm that the bacteria are growing between measurements.

Final Answer