Stacy is painting her bedroom. She is able to paint 34

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

94
hours
Start Fraction 9 over 4 End Fraction hours

4 hours
4 hours

6 hours
6 hours

12 hours

1 answer

If Stacy can paint \(\frac{3}{4}\) of the bedroom in 3 hours, we can find out how long it would take her to paint the entire room.

First, we calculate the rate at which she paints:

\[ \text{Rate} = \frac{\frac{3}{4} \text{ of the room}}{3 \text{ hours}} = \frac{3}{4} \div 3 = \frac{3}{4} \times \frac{1}{3} = \frac{1}{4} \text{ of the room per hour} \]

Now, if she can paint \(\frac{1}{4}\) of the room in 1 hour, we find out how many hours it will take her to paint the whole room (which is 1):

\[ \text{Time to paint the entire room} = \frac{1 \text{ room}}{\frac{1}{4} \text{ room per hour}} = 4 \text{ hours} \]

So the correct answer is:

4 hours.