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

Understand units: Understand the units used by Guang and Orion. Guang reports a density in bacteria per square centimeter, while Orion reports a density in bacteria per square millimeter. To compare their reported densities, we need to convert them to the same units.Convert Orion's density: 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. Therefore, to convert Orion's density to the same units as Guang's, we multiply by 100. Orion's density in bacteria per square centimeter = 50 bacteria/mm² * 100 mm²/cm² = 5000 bacteria/cm².Compare densities: Compare the densities reported by Guang and Orion. Guang reports a density of 4500 bacteria/cm², and Orion reports a density of 5000 bacteria/cm² after converting to the same units.Determine higher density: Determine who reports a higher density. Since 5000 bacteria/cm² (Orion's density) is greater than 4500 bacteria/cm² (Guang's density), Orion reports a higher density than Guang.

Full solution

More problems from Multi-step problems with unit conversions

Related topics