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
12 hours
12 hours
94 hours
Start Fraction 9 over 4 End Fraction hours
4 hours
4 hours
6 hours
94 hours
To find out how long it will take Stacy to paint the entire room, we need to determine the rate at which she is painting.
Given that she can paint 3/4 of the room in 3 hours, we can set up the proportion:
3 hours / (3/4) room = x hours / 1 room
To solve for x, we can cross multiply and divide:
3 * 1 room = (3/4) room * x hours
3 = (3/4) * x
To isolate x, we can multiply both sides by 4/3:
4/3 * 3 = x
4 = x
Therefore, it will take Stacy 4 hours to paint the entire room.
To find out how long it will take Stacy to paint the entire room at the given rate, we need to calculate the time it takes for her to paint 1/34th of the room.
The given information tells us that Stacy can paint 34 of the bedroom in 3 hours. This means she can paint (1/34)th of the bedroom in (1/34) * 3 = (3/34) hours.
To find out how long it will take Stacy to paint the entire room, we need to divide 1 by (1/34) and then multiply it by (3/34) to get the total time in hours.
(1/(1/34)) * (3/34) = (34/1) * (3/34) = 3 hours.
Therefore, it will take Stacy 3 hours to paint the entire room at this rate.
So, the correct answer is 3 hours.