The formula for the density of a bacteria population is (N)/(A) where there's an average of N bacteria in an area size A. Guang and Orion are doing an experiment in school for which they need to measure the density of a bacteria population after a certain solution has been introduced. Guang reports a density of 4500 bacteria per square centimeter and Orion reports a density of 50 bacteria per square millimeter. Which one reports a higher density? Choose 1 answer: (A) Guang reports a higher density than Orion. (B) Orion reports a higher density than Guang. (C) Guang and Orion report equal densities.

Question

The formula for the density of a bacteria population is  (N)/(A) where there's an average of  N bacteria in an area size  A. Guang and Orion are doing an experiment in school for which they need to measure the density of a bacteria population after a certain solution has been introduced. Guang reports a density of 4500 bacteria per square centimeter and Orion reports a density of 50 bacteria per square millimeter. Which one reports a higher density? Choose 1 answer: (A) Guang reports a higher density than Orion. (B) Orion reports a higher density than Guang. (C) Guang and Orion report equal densities.

Bytelearn · Accepted Answer

Convert Orion's density: To compare the densities reported by Guang and Orion, we need to ensure that they are expressed in the same units. Guang's density is given in bacteria per square centimeter, while Orion's density is given in bacteria per square millimeter.Calculate Orion's density: First, we convert Orion's density to bacteria per square centimeter. There are 10 millimeters in a centimeter, so there are 10 * 10 = 100 square millimeters in a square centimeter.Compare the densities: Orion's reported density is 50 bacteria per square millimeter. To find the density per square centimeter, we multiply by 100 (since there are 100 square millimeters in a square centimeter). Orion's density in bacteria per square centimeter = 50 bacteria/mm^2 * 100 mm^2/cm^2 = 5000 bacteria/cm^2.Conclusion: Now we compare the densities: Guang's density = 4500 bacteria/cm^2. Orion's density = 5000 bacteria/cm^2.Since Orion's density (5000 bacteria/cm^2) is greater than Guang's density (4500 bacteria/cm^2), Orion reports a higher density than Guang.

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