The Approximate Lengths and Diameters (In Inches) of Common Nails $y$

question 54

Multiple Choice

The approximate lengths and diameters (in inches) of common nails are shown in the table. Find a logarithmic equation that relates the diameter $y$ of a common nail to its length $$x.$$ $$\begin{array} { | c | c | } \hline \text { Length, } x & \text { Diameter, } y \\\hline 1 & 0.095 \\\hline 2 & 0.156 \\\hline 3 & 0.208 \\\hline\end{array}$$ $$\begin{array} { | c | c | } \hline \text { Length, } x & \text { Diameter, } y \\\hline 4 & 0.256 \\\hline 5 & 0.300 \\\hline 6 & 0.342 \\\hline\end{array}$$

• A) \(\ln y = - 0.095 \ln x + \ln 0.715\)
• B) \(\ln y = 0.095 \ln x - \ln 0.715\)
• C) \(\ln y = 0.715 \ln x - \ln 0.095\)
• D) \(\ln y = - 0.095 \ln x - \ln 0.715\)
• E) \(\ln y = 0.715 \ln x + \ln 0.095\)

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Definitions:

Hemoglobin

A protein in red blood cells responsible for carrying oxygen from the lungs to the body's tissues and returning carbon dioxide from the tissues back to the lungs.

Oxygen Transporter

A protein that facilitates the movement of oxygen molecules from the lungs to the rest of the body.

Heme

An iron-containing compound that forms an essential part of hemoglobin and some other biological molecules, responsible for binding oxygen.

Renal Artery

The renal artery is a blood vessel that supplies the kidneys with blood, enabling them to filter and cleanse the blood, remove waste and produce urine.