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"The table below gives the total bone area, in square

centimeters (cm2), and bone mineral content, in grams(g), of four
healthy people. Bone mineral density is the unit rate of grams of
bone mineral content per square centimeter of bone area. Which
person has the greatest bone mineral density, in grams per
square centimeter?
Bone area (cm) Bone mineral content (g)
Person 1 2,160
2.520
Client
3,010
Person 2 2,400
Person 3 1.800
1.980
Person 4
2,050
2.460"
A: Person 3
B: Person 1
C: Person 2
D: Person 4

User Tasia
by
8.3k points

1 Answer

3 votes

Final answer:

Person 3 has the greatest bone mineral density, with a value of 1.1 g/cm².

Step-by-step explanation:

To find the person with the greatest bone mineral density, we need to calculate the bone mineral density of each person by dividing their bone mineral content by their bone area. Let's calculate the bone mineral density for each person:

  1. Person 1: Bone mineral density = Bone mineral content / Bone area = 2.520 g / 2,160 cm² = 0.001167 g/cm²
  2. Person 2: Bone mineral density = Bone mineral content / Bone area = Not given
  3. Person 3: Bone mineral density = Bone mineral content / Bone area = 1.980 g / 1.800 cm² = 1.1 g/cm²
  4. Person 4: Bone mineral density = Bone mineral content / Bone area = 2.460 g / 2,050 cm² = 0.001201 g/cm²

Based on the calculations, Person 3 has the greatest bone mineral density, with a value of 1.1 g/cm².

User Arut
by
8.0k points