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Use the unit rate to solve the following:

Juanita spent 15 hours in a 2-week period training for a decathlon. At this rate, how many hours will she train in 5 weeks?

Answer :

Final answer:

To determine how many hours Juanita will train in 5 weeks, we first find her average training per week, which is 7.5 hours. Multiplying this rate by the 5 weeks gives a total of 37.5 hours of training. Therefore, in 5 weeks, Juanita will train for 37.5 hours.


Explanation:

Calculating Juanita's Training Hours

To find out how many hours Juanita will train in 5 weeks based on her current training schedule, we first need to determine the unit rate of her training hours per week.

Juanita spent a total of 15 hours training in a 2-week period. To find the average training hours per week, we can calculate:

  1. Total hours = 15 hours
  2. Duration = 2 weeks
  3. Unit Rate (hours/week) = Total hours / Duration = 15 hours / 2 weeks = 7.5 hours/week

Now that we have established her unit rate of 7.5 hours per week, we can determine how many hours she would train in 5 weeks using the formula:

  1. Hours in 5 weeks = Unit Rate Number of weeks = 7.5 hours/week 5 weeks

Calculating that gives:

Hours in 5 weeks = 7.5 * 5 = 37.5 hours

Conclusion

Thus, Juanita will train for 37.5 hours in a 5-week period.


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