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A factory bottles 511 bottles of juice in 7 minutes. Find the factory's unit rate of bottles per minute.

A. [tex][tex]$73: 1$[/tex][/tex]
B. [tex][tex]$\frac{73 \text{ minutes }}{11 \text{ bottle }}$[/tex][/tex]
C. [tex][tex]$\frac{511 \text{ bottles }}{7 \text{ minutes }}$[/tex][/tex]
D. [tex][tex]$\frac{73 \text{ bottles }}{1 \text{ minute }}$[/tex][/tex]

Sagot :

GinnyAnswer
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].
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