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

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, Fk= d, where k is the measure of the stiffness of the
Spring and is called the spring constant. The table below shows the elongation d in
Centimeters of a spring when a force of F kilograms is applied. $$\begin{array} { | c | c | } \hline \text { Force, } \boldsymbol { F } & \text { Elongation, } \boldsymbol { d } \\\hline 20 & 1.4 \\\hline 40 & 2.5 \\\hline 60 & 4.0 \\\hline 80 & 5.3 \\\hline 100 & 6.6 \\\hline\end{array}$$ Find the equation of the line that seems to best fit the data. Use the model to estimate
The elongation of the spring when a force of 55 kilograms is applied. Round your
Answer to one decimal place.

A) 7.2 centimeters
B) 5.4 centimeters
C) 1.8 centimeters
D) 3.6 centimeters
E) 2.7 centimeters