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)

Responses

6 hours
6 hours

94 hours
Start Fraction 9 over 4 End Fraction hours

12 hours
12 hours

4 hours

1 answer

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

If \( \frac{3}{4} \) of the room takes 3 hours, then \( 1 \) (the whole room) would take:

\[ \text{Time for entire room} = \frac{3 \text{ hours}}{\frac{3}{4}} = 3 \text{ hours} \times \frac{4}{3} = 4 \text{ hours} \]

So it will take her 4 hours to paint the entire room.

The correct response is:

4 hours