To find out how long it will take Stacy to paint the entire bedroom, we can first determine how long it takes her to paint \( \frac{3}{4} \) of the room and then use that to find the time for 1 (the whole room).
If Stacy can paint \( \frac{3}{4} \) of the room in 3 hours, we can calculate the time it takes her to paint 1 full room:
- Set up the proportion: If \( \frac{3}{4} \) of the room takes 3 hours, then 1 full room (which is \( \frac{4}{4} \)) will take:
\[ \text{Time for 1 full room} = 3 , \text{hours} \times \frac{4}{3} = 4 , \text{hours} \]
So it will take her 4 hours to paint the entire room.