To find out how long it will take Stacy to paint the entire bedroom, we can use the information that she is able to paint \( \frac{3}{4} \) of the room in 3 hours.
First, we calculate the rate at which she paints the room:
If \( \frac{3}{4} \) of the room takes 3 hours, then the time to paint 1 whole room (1 room) can be calculated as follows:
Let \( T \) be the time to paint 1 whole room. Since \( \frac{3}{4} \) of the room takes 3 hours, we can set up the proportion:
\[ \frac{3}{4} \text{ room} \rightarrow 3 \text{ hours} \] \[ 1 \text{ room} \rightarrow T \text{ hours} \]
The relationship can be expressed as:
\[ \frac{3}{4} : 3 = 1 : T \]
Cross-multiplying gives us:
\[ 3T = 3 \times 4 \] \[ 3T = 12 \] \[ T = \frac{12}{3} = 4 \text{ hours} \]
Thus, it will take Stacy 4 hours to paint the entire bedroom.
The correct answer is:
4 hrs