Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)

Question

Responses

6 hours
6 hours

9/4 hours
Start Fraction 9 over 4 End Fraction hours

4 hours
4 hours

12 hours

Answer 1

Stacy is able to paint \( \frac{3}{4} \) of the bedroom in 3 hours. To find out how long it will take her to paint the entire room, we can set up a proportion.

First, we find the rate at which she paints:

\[ \text{Rate} = \frac{3/4 \text{ room}}{3 \text{ hours}} = \frac{1/4 \text{ room}}{1 \text{ hour}} \]

This means she paints \( \frac{1}{4} \) of the room in 1 hour.

To paint the entire room, which is equivalent to painting 1 room, we can set up the equation:

\[ \text{Time} = \frac{1 \text{ room}}{\frac{1}{4} \text{ room/hour}} = 4 \text{ hours} \]

Thus, it will take Stacy 4 hours to paint the entire room.

The correct answer is:

4 hours