To find the total amount of time Naysha spends listening to the radio in a 7-day period, we can multiply the amount of time she listens each day by the number of days. Naysha listens for \( \frac{5}{6} \) of an hour each day.
Let's evaluate each of the given expressions:
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\(\frac{3}{5} \): This does not correctly represent the total listening time.
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\(\frac{35}{6}\): This is an improper fraction and does not properly relate to Naysha's listening time.
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\(7 \times \frac{5}{6}\): This is correct. It represents the multiplication of the daily time (\(\frac{5}{6}\)) by the number of days (7).
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\(7 + \frac{5}{6}\): This does not represent the total listening time. It adds the number of days to the listening time.
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\( \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} \): This sums the daily listening time for 7 days, which is correct. It can be simplified to \( 7 \times \frac{5}{6}\).
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\(126\): This does not correctly relate to the total listening time.
The three correct expressions for the time Naysha spends listening to the radio in a 7-day period are:
- \(7 \times \frac{5}{6}\)
- \( \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} \)
In conclusion, the correct responses are:
- \(7 \times \frac{5}{6}\)
- \( \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} \)