Use the References to access important values if needed for this question.

You have the following data points which belong to a function of the form $y=a{e}^{\frac{b}{x}},$ where $b$ can be positive or negative.

$\backslash$table$[[y,13\mathrm{.}0,30\mathrm{.}9,36\mathrm{.}7],[x,2\mathrm{.}00,4\mathrm{.}00,5\mathrm{.}00]]$

You wish to determine the value of the constant, $b,$ and to do so you will construct a linear plot. What will you plot against what? $y-$axis label:

$x-$axis label:

From the values of $x$ and $y$ in the table above, calculate the values of the three corresponding data points. Click on the graph below, and use the "Freeform Curves" tool to plot the data. Line segments will automatically connect the points.

What is the numerical value of the constant, $b?$

$b=$