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The diameter of a red blood cell is about 0.0008 cm. The diameter of a

whooping cough virus is about 2.5 x 10-5 cm. What is the approximate ratio

of the diameter of the red blood cell to the diameter of the whooping cough

virus?

A. 3.2 x 102

B. 3.1 x 10-3

C. 3.2 x 101

O D. 3.1 x 10-2

Respuesta :

Answer:

C. [tex]3.2\times 10^{1}[/tex]

Step-by-step explanation:

[tex]d_r[/tex] = Diameter of a red blood cell = [tex]0.0008\ \text{cm}[/tex]

[tex]d_w[/tex] = Diameter of a whooping cough virus = [tex]2.5\times 10^{-5}\ \text{cm}[/tex]

Ratio of the diameter of the red blood cell to the diameter of the whooping cough virus

[tex]\dfrac{d_r}{d_w}=\dfrac{0.0008}{2.5\times 10^{-5}}=\dfrac{0.0008}{25\times 10^{-6}}=\dfrac{0.0008\times 10^6}{25}\\\Rightarrow \dfrac{d_r}{d_w}=\dfrac{800}{25}\\\Rightarrow \dfrac{d_r}{d_w}=32=3.2\times 10^{1}[/tex]

The required ratio is [tex]3.2\times 10^{1}[/tex].