Lori works as a cartoonist for a teen magazine.The time she spent sketching is given by the equation m=12s, where mis the number of minutes and s is the number of sketches. If lori made 3/4 of a sketch, she spent minutes sketching

Respuesta :

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.