To find the factory's unit rate of bottles per minute, we'll need to determine how many bottles are produced in one minute.
Given:
- The factory bottles 511 bottles of juice in 7 minutes.
We can use the formula for the unit rate:
[tex]\[ \text{Unit Rate} = \frac{\text{Total Bottles}}{\text{Total Minutes}} \][/tex]
Now, substitute the given values into the formula:
[tex]\[ \text{Unit Rate} = \frac{511 \text{ bottles}}{7 \text{ minutes}} \][/tex]
To perform this division, we find:
[tex]\[ \text{Unit Rate} = 73 \text{ bottles per minute} \][/tex]
Therefore, the factory's unit rate is [tex]\( 73 \text{ bottles per minute} \)[/tex].
