To determine the expressions that represent the time Whitney spends listening to her podcast over a five-day period, we note that she listens for \( \frac{79}{1} \) hours each day. Over five days, this can be expressed in several equivalent ways:
-
Repeated addition:
- \( 79 + 79 + 79 + 79 + 79 \) (This is valid as it adds the daily listening time together for 5 days.)
-
Multiplication:
- \( 5 \times 79 \) (This is valid as it multiplies the daily listening time by the number of days.)
-
Fraction addition:
- Since \( 79 \) can be expressed as \( \frac{7}{9} \) in terms of a fraction (although incorrect contextually), we have:
- \( \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} + \frac{7}{9} \) (This is also a valid representation but note the context.)
From the original options, the valid answers that can be chosen among the expressions provided that correctly represent Whitney's listening time over 5 days are:
- \( 79 + 79 + 79 + 79 + 79 \)
- \( 5 \times 79 \)
The expressions that are also valid can depend on how you assess the fractions. In proper adherence to the fractional representation, however, it's important to note that:
- \( 5 + 79 \) is not a correct representation.
- \( 129 \) does not aggregate correctly, and neither does \( 35 \) or \( 12 \) or others.
Thus, the three possible choices that are correctly valid are:
- \( 79 + 79 + 79 + 79 + 79 \)
- \( 5 \times 79 \)
- \( 5 \times \frac{7}{9} \) or simply \( \frac{35}{9} \) in context.
So, in summary:
- \( 79 + 79 + 79 + 79 + 79 \)
- \( 5 \times 79 \)
- \( \frac{35}{9} \) if fractional context supported.
If you meant strictly looking among the provided options in a closer context:
- 79 + 79 + 79 + 79 + 79
- 5 × 79
- 5 times 7 ninths could be argued depending on calculation context.
Please confirm if this format is required, and how the fractional aspect is to fit.