To create a linear equation that models the data for Tree 1, where [tex]\( x \)[/tex] is the year and [tex]\( y \)[/tex] is the trunk diameter in inches, we first identify the slope ([tex]\( m \)[/tex]) and the y-intercept ([tex]\( b \)[/tex]) of the equation of the form:
[tex]\[ y = mx + b \][/tex]
Based on the data for Tree 1, the slope ([tex]\( m \)[/tex]) is approximately 0.3, and the y-intercept ([tex]\( b \)[/tex]) is approximately 18.3.
Thus, the linear equation that fits the data for Tree 1 is:
[tex]\[ y = 0.3x + 18.3 \][/tex]
This equation can now be used to predict the trunk diameter of Tree 1 in future years.