To determine the value of [tex]\( f \)[/tex] when [tex]\( g = 3 \)[/tex] under the condition that [tex]\( f \)[/tex] and [tex]\( g \)[/tex] are in direct proportion with the proportionality equation [tex]\( f = 6g \)[/tex]:
1. Begin with the given equation of proportionality:
[tex]\[
f = 6g
\][/tex]
2. Substitute the given value of [tex]\( g = 3 \)[/tex] into the equation:
[tex]\[
f = 6 \cdot 3
\][/tex]
3. Perform the multiplication:
[tex]\[
f = 18
\][/tex]
4. The result is a whole number, hence no decimal places are necessary. However, if required to express it to one decimal place for consistency, it would be:
[tex]\[
f = 18.0
\][/tex]
Therefore, the value of [tex]\( f \)[/tex] when [tex]\( g = 3 \)[/tex] is [tex]\( 18.0 \)[/tex].
