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

12 hours
12 hours

4 hours

Answer 1

To find out how long it will take Stacy to paint the entire room, we first determine her painting rate.

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

To find out how long it takes her to paint 1 whole bedroom, we set up a proportion:

\[ \text{Time to paint 1 room} = \frac{3 \text{ hours}}{\frac{3}{4} \text{ room}} = \frac{3}{\frac{3}{4}} = 3 \times \frac{4}{3} = 4 \text{ hours} \]

Thus, it takes her 4 hours to paint the entire bedroom.

Therefore, the correct response is:

4 hours.