Question

The formula for the density of a bacteria population is \dfrac NA A N ​ start fraction, N, divided by, A, end fraction where there's an average of NNN bacteria in an area size AAA. 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 450045004500 bacteria per square centimeter and Orion reports a density of 505050 bacteria per square millimeter. Which one reports a higher density? Choose 1 answer:

Answer 1

Answer:

Guang reports a higher density of 4.5 × 10⁷ bacteria/m²

Step-by-step explanation:

Since Guang reports a density of 4500 bacteria per square centimeter and Orion reports a density of 50 bacteria per square millimeter, we convert both densities into bacteria per square meter to compare their values.

So, for Guang 4500 bacteria/cm² = 4500 bacteria/cm² × 10⁴ cm²/1 m² = 4500 × 10⁴ bacteria/m² = 4.5 × 10⁷ bacteria/m²

For Orion 50 bacteria/cm² = 50 bacteria/cm² × 10⁴ cm²/1 m² = 50 × 10⁴ bacteria/m² = 5 × 10⁵ bacteria/m²

Since 4.5 × 10⁷ bacteria/m² > 5 × 10⁵ bacteria/m², Guang reports a higher density of 4.5 × 10⁷ bacteria/m²

Answer 2

Answer:

B.) orion reports a higher desity than guang

Step-by-step explanation:

We found that Guang's reported density is 45 bacteria/ millimeter^2, while orion's reported density is 50 bacteria/ millimeter^2.