To determine the change in [tex]\( w \)[/tex] when it changes from an initial value [tex]\( w_i = 18.5 \)[/tex] to a final value [tex]\( w_f = 12 \)[/tex], you need to calculate the difference between [tex]\( w_i \)[/tex] and [tex]\( w_f \)[/tex].
Given:
[tex]\[ w_i = 18.5 \][/tex]
[tex]\[ w_f = 12 \][/tex]
The change in [tex]\( w \)[/tex] is:
[tex]\[ \Delta w = w_i - w_f \][/tex]
Substituting the given values:
[tex]\[ \Delta w = 18.5 - 12 \][/tex]
The result is:
[tex]\[ \Delta w = 6.5 \][/tex]
Hence, [tex]\( w \)[/tex] has changed by 6.5 units.