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)
Responses
12 hours
12 hours
4 hours
4 hours
6 hours
6 hours
94 hours
The correct answer is 4 hours.
To find how long it will take Stacy to paint the entire room, we can set up a proportion using the information given.
Let x be the time it will take Stacy to paint the entire room.
We know that Stacy can paint 3/4 of the room in 3 hours.
Setting up the proportion: (3/4) / 3 = 1 / x
To solve for x, we can cross multiply:
3 * x = 4 * 1
3x = 4
x = 4/3
Therefore, it will take Stacy 4/3 hours to paint the entire room, which is equivalent to 1 hour and 20 minutes.
However, since the options given are in whole numbers, the closest option is 4 hours. So the answer is 4 hours.
To determine how long it will take Stacy to paint the entire room, we can use the concept of a unit rate. The unit rate represents the amount of work done per unit of time.
In this case, Stacy is able to paint 3/4 (or 0.75) of the bedroom in 3 hours. To find the unit rate, we divide the amount of work done (0.75) by the time it took (3 hours):
0.75 / 3 = 0.25
Therefore, the unit rate is 0.25 (which represents the fraction of the room painted per hour).
To find out how long it will take Stacy to paint the entire room, we need to divide the total work (1) by the unit rate (0.25):
1 / 0.25 = 4
Therefore, it will take Stacy 4 hours to paint the entire room.
So the correct answer is: 4 hours