Whitney listens to her favorite podcast for 4/7 of an hour each day. Which expressions represent the time Whitney spends listening to the podcast over a 7-day period? Check the three that apply.

Question

Responses

A. 7 x 4/7

B. 4

C. 11/7

D.4/7 + 4/7 + 4/7 + 4/7 + 4/7 + 4/7 + 4/7

E. 7 + 4/7

Answer 1

To find the total time Whitney spends listening to her favorite podcast over a 7-day period, we need to multiply the time she listens each day by the number of days:

• Whitney listens to her podcast for \( \frac{4}{7} \) of an hour each day.
• Over 7 days, the expression would be \( 7 \times \frac{4}{7} \).

Now let's examine each option:

A. \( 7 \times \frac{4}{7} \) - This is correct. B. \( 4 \) - This is incorrect. (It does not represent the total time across 7 days.) C. \( \frac{11}{7} \) - This is incorrect. (It is not the total time.) D. \( \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} \) - This is correct, as it adds up the time for each of the 7 days. E. \( 7 + \frac{4}{7} \) - This is incorrect. (It incorrectly adds the total days to one day's time.)

The correct expressions that represent the time Whitney spends listening to the podcast over a 7-day period are:

• A. \( 7 \times \frac{4}{7} \)
• D. \( \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} \)

So, the correct responses are A and D.

Answer 2

whats the third closest answer

Answer 3

Given the context and the expressions you provided, the third closest answer that could potentially represent the time Whitney spends listening to her podcast over a 7-day period is option C \( \frac{11}{7} \).

However, note that while the first two correct options (A and D) explicitly represent the total time over 7 days accurately, option C \( \frac{11}{7} \) does not represent the correct total time but is numerically related to the components of the listening time when considered outside the coherent context of the total time over 7 days.

To clarify:

• A \( 7 \times \frac{4}{7} \) is the direct multiplication representing total time.
• D \( \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} + \frac{4}{7} \) explicitly sums up her daily listening time.
• C \( \frac{11}{7} \), while not a correct total, could have a conceptual link related to time fractions.

So, the third closest answer would be C.