Hooke's Law States That the Force F Required to Compress $d$

Multiple Choice

Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance $d$ that the spring is compressed or stretched from its original length. That is, $F = k d$ where $k$ is a measure of the stiffness of the spring and is called the spring constant. The table shows the elongation $d$ in centimeters of a spring when a force of $F$ newtons is applied. Use the regression capabilities of a graphing utility to find a linear model for the data. Round the numerical values in your answer to three decimal places.
$\begin{array}{|c|c|c|c|c|c|}\hline F & 20 & 40 & 60 & 80 & 100 \\\hline d & 1.9 & 3.8 & 5.7 & 7.6 & 9.5 \\\hline\end{array}$

A) $d = 0.675 F$
B) $d = 0.118 \mathrm {~F}$
C) $d = 0.112 F$
D) $d = 0.095 F$
E) $d = 0.905 F$