A machine can fill 5,400 bottles in 3 hours. How many bottles can it fill in 8 hours?(1 point)
bottles
To find the number of bottles the machine can fill in 8 hours, we need to determine the machine's rate of filling bottles per hour.
The machine can fill 5,400 bottles in 3 hours, which means it fills 5,400/3 = <<5400/3=1800>>1,800 bottles per hour.
Therefore, the machine can fill 1,800 bottles per hour x 8 hours = <<1800*8=14400>>14,400 bottles in 8 hours. Answer: \boxed{14,400}.
To find out how many bottles the machine can fill in 8 hours, we can use the concept of proportions.
Let's set up a proportion based on the given information:
Number of bottles filled / Time taken = Constant
Since the machine can fill 5,400 bottles in 3 hours, we can fill in these values:
5,400 / 3 = x / 8
To solve for x, the number of bottles filled in 8 hours, we can cross multiply:
3x = 5,400 * 8
3x = 43,200
Now, solve for x by dividing both sides of the equation by 3:
x = 43,200 / 3
x ≈ 14,400
Therefore, the machine can fill approximately 14,400 bottles in 8 hours.
To find out how many bottles the machine can fill in 8 hours, we can use a proportional relationship approach.
First, let's determine the rate at which the machine fills bottles per hour. We can do this by dividing the total number of bottles filled (5,400) by the number of hours it took (3):
Rate of filling bottles per hour = 5,400 bottles / 3 hours = 1,800 bottles per hour
Now, we can multiply the rate of filling bottles per hour by the number of hours (8) to find the total number of bottles the machine can fill in that time:
Total bottles filled in 8 hours = Rate of filling bottles per hour * Number of hours
Total bottles filled in 8 hours = 1,800 bottles per hour * 8 hours = 14,400 bottles
Therefore, the machine can fill 14,400 bottles in 8 hours.