Answer:
Lori spends 9 minutes on sketching [tex]\frac{3}{4}[/tex]th of a sketch.
Step-by-step explanation:
Given equation:
[tex]m=12\ s[/tex]
where [tex]m\rightarrow[/tex] number of minutes Lori spends on sketching
and [tex]s\rightarrow[/tex] number of sketches Lori makes.
We need to calculate the time spent by Lori in sketching [tex]\frac{3}{4}[/tex] of a sketch.
So we know the value of [tex]s=\frac{3}{4}[/tex] as [tex]s[/tex] represents number of sketches and in this situation Lori has sketched only a fraction of a painting.
So we plugin [tex]s=\frac{3}{4}[/tex] in the equation and calculate [tex]m[/tex] which is time spent by Lori sketching [tex]\frac{3}{4}[/tex]th of a sketch.
[tex]m=12\ \frac{3}{4}[/tex]
[tex]m=\frac{36}{4}[/tex]
∴ [tex]m=9[/tex] minutes (Answer)
∴ Lori spends 9 minutes on sketching [tex]\frac{3}{4}[/tex]th of a sketch.