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 a 9/4 of an hour be 4 hours see 6 hours D 12 hours

Answer 1

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

Stacy paints \( \frac{3}{4} \) of the bedroom in 3 hours. Therefore, her painting rate is:

\[ \text{Rate} = \frac{\text{Area painted}}{\text{Time}} = \frac{3/4 \text{ of the room}}{3 \text{ hours}} = \frac{3}{4} \times \frac{1}{3} = \frac{1}{4} \text{ of the room per hour} \]

Now, to find out how long it takes to paint the entire room, we use the formula:

\[ \text{Time} = \frac{\text{Total Area}}{\text{Rate}} = \frac{1 \text{ room}}{\frac{1}{4} \text{ room/hour}} = 4 \text{ hours} \]

So, the answer is 4 hours (B).