Question

a scientist has four petri dishes of different sizes. each dish contains a different number of bacteria. find each population density, to the nearest hundredth. which statement is true? dish a has the lowest population density. dish c has the greatest population density. dish a and dish b have approximately the same population density. dish c and dish d have approximately the same population density. population of bacteria area (mm²) dish a 7,200 2,826 dish b 10,000 7,850 dish c 13,650 20,096 dish d 21,350 31,400

Explanation:

Step1: Calculate density of Dish A

Population density = $\frac{\text{Population of Bacteria}}{\text{Area}}$. For Dish A, density $d_A=\frac{7200}{2826}\approx 2.55$ bacteria/mm².

Step2: Calculate density of Dish B

For Dish B, density $d_B = \frac{10000}{7850}\approx1.27$ bacteria/mm².

Step3: Calculate density of Dish C

For Dish C, density $d_C=\frac{13650}{20096}\approx 0.68$ bacteria/mm².

Step4: Calculate density of Dish D

For Dish D, density $d_D=\frac{21350}{31400}\approx 0.68$ bacteria/mm².

Answer:

Dish C and Dish D have approximately the same population density.