Stacy is painting her bedroom. She is able to paint 3/4

Question

of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)
Responses

4 hours
4 hours

6 hours
6 hours

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

12 hours

Answer 1

To find out how long it will take Stacy to paint the entire room, we can set up a proportion based on the rate at which she paints.

Stacy can paint \( \frac{3}{4} \) of the bedroom in 3 hours.

To find her rate of work, we can calculate how long it takes her to paint 1 full bedroom:

\[ \text{If } \frac{3}{4} \text{ room takes 3 hours, then 1 room takes } \frac{3}{\frac{3}{4}} \text{ hours.} \]

To divide by a fraction, we multiply by the reciprocal: \[ \frac{3}{\frac{3}{4}} = 3 \times \frac{4}{3} = 4 \text{ hours.} \]

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

Therefore, the correct response is:

4 hours