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

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

6 hours
6 hours

12 hours

Answer 1

To find out how long it will take Stacy to paint the entire bedroom, we can use her current rate of painting.

If she can paint \( \frac{3}{4} \) of the bedroom in 3 hours, we first determine how long it takes her to paint 1 whole bedroom.

Let \( x \) be the time in hours to paint the entire room.

We set up the proportion:

\[ \frac{3}{4} \text{ room} = 3 \text{ hours} \]

Since the full room is \( 1 \) room, we can express this as:

\[ \frac{3}{4} = \frac{3}{x} \]

Now we can solve for \( x \):

Cross-multiply:

\[ 3x = 3 \times 4 \]

\[ 3x = 12 \]

Now divide by 3:

\[ x = \frac{12}{3} = 4 \text{ hours} \]

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

The correct response is:

4 hours