Whitney listens to her favorite podcast for 79 of an hour each day. Which expressions represent the time Whitney spends listening to the podcast over a five-day period? Check the THREE that apply.(3 points) Responses 79+79+79+79+79 7 ninths plus 7 ninths plus 7 ninths plus 7 ninths plus 7 ninths 129 12 ninths 5×79 5 times 7 ninths 359 35 ninths 5+79

1 answer

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:

  1. Repeated addition:

    • \( 79 + 79 + 79 + 79 + 79 \) (This is valid as it adds the daily listening time together for 5 days.)
  2. Multiplication:

    • \( 5 \times 79 \) (This is valid as it multiplies the daily listening time by the number of days.)
  3. 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:

  1. \( 79 + 79 + 79 + 79 + 79 \)
  2. \( 5 \times 79 \)
  3. \( \frac{35}{9} \) if fractional context supported.

If you meant strictly looking among the provided options in a closer context:

  1. 79 + 79 + 79 + 79 + 79
  2. 5 × 79
  3. 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.