To find the rate and the unit rate of 468 hours of work in 12 weeks, follow these steps:
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Calculate the Total Rate: The total rate is the total hours worked divided by the total weeks worked.
\[ \text{Total Rate} = \frac{\text{Total Hours}}{\text{Total Weeks}} = \frac{468 \text{ hours}}{12 \text{ weeks}} = 39 \text{ hours per week} \]
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Calculate the Unit Rate: The unit rate usually refers to the amount of work done (in this case, hours worked) per one unit of the measure (in this case, one week).
The unit rate here is the same as the total rate since the total rate gives the hours per week:
\[ \text{Unit Rate} = 39 \text{ hours per week} \]
Thus, both the rate and the unit rate of 468 hours of work in 12 weeks is 39 hours per week.