Manuel can paint 5 pictures in 12.5 hours. At this rate, which proportion can be used to find p, the number of pictures Manuel can paint in 8 hours?
One possible proportion that can be used is:
5 pictures / 12.5 hours = p pictures / 8 hours
To solve for p, we can cross-multiply and simplify:
5 pictures x 8 hours = 12.5 hours x p pictures
40 pictures = 12.5 hours x p pictures
p pictures = 40 pictures / 12.5 hours
p pictures = 3.2 pictures
Therefore, according to this proportion, Manuel can paint about 3.2 pictures in 8 hours at the same rate as he can paint 5 pictures in 12.5 hours. Since it's not possible to paint a fraction of a picture, we could also say that he can paint either 3 pictures or 4 pictures in 8 hours, depending on whether he finishes the third picture before or after the 8-hour mark.
To find the proportion that can be used to find the number of pictures Manuel can paint in 8 hours, we need to determine the relationship between the hours and the number of pictures.
We know that Manuel can paint 5 pictures in 12.5 hours.
Let's set up the proportion using the information given:
Pictures / Hours = Pictures / Hours
Using this proportion, we can write the equation as:
5 / 12.5 = p / 8
To find the value of p, we can cross-multiply and solve for p:
5 * 8 = 12.5 * p
40 = 12.5p
To isolate p, we divide both sides of the equation by 12.5:
40 / 12.5 = p
p = 3.2
Therefore, the proportion that can be used to find the number of pictures Manuel can paint in 8 hours is 5/12.5 = p/8, where p is approximately 3.2 pictures.