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[tex]$f$[/tex] and [tex]$g$[/tex] are in direct proportion. The equation of proportionality is

[tex]\[ f = 6g \][/tex]

Work out the value of [tex]$f$[/tex] when [tex]$g = 3$[/tex]. If your answer is a decimal, give it to 1 d.p.

Sagot :

GinnyAnswer
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].
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