To find the expressions that represent the time Whitney spends listening to her podcast over a five-day period, we can break this down as follows:
- Daily listening time: Whitney listens to her podcast for \( \frac{7}{9} \) of an hour each day.
- Total listening time over 5 days: We need to multiply the daily listening time by the number of days.
Now let's evaluate each of the suggested expressions:
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359 - This expression does not represent the time.
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35 ninths - This also does not represent the time.
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5 + 79 - This does not represent the total time since it adds a whole number and wouldn't reflect the total listening time in hours directly.
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5 plus 7 ninths - This expression is not quite right; it combines a whole number with a fraction improperly.
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79 + 79 + 79 + 79 + 79 - This expression represents total listening time (adding every day). \( 79 \times 5 = 395 \), which is valid.
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7 ninths plus 7 ninths plus 7 ninths plus 7 ninths plus 7 ninths - This also totals up to \( 5 \times \frac{7}{9}\), which can be represented as \( \frac{35}{9} \), a valid time representation.
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129 - This is not a direct representation of the five-day listening time.
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12 ninths - This expression, simplified, is actually \( \frac{12}{9} = \frac{4}{3} \), which is not the correct total.
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5 × 79 - This is valid. It calculates \( 5 \times 79\) for the total listening time over five days.
Based on the above analysis, the three correct expressions that represent the time Whitney spends listening to her podcast over a five-day period are:
- 79 + 79 + 79 + 79 + 79
- 7 ninths plus 7 ninths plus 7 ninths plus 7 ninths plus 7 ninths
- 5 × 79
So the correct choices are:
- \( 79 + 79 + 79 + 79 + 79 \)
- \( 7 \text{ ninths plus } 7 \text{ ninths plus } 7 \text{ ninths plus } 7 \text{ ninths plus } 7 \text{ ninths} \)
- \( 5 \times 79 \)
1 answer