Question

Erin watches her favorite YouTube channel for 811
of an hour each day. Which expressions represent the time Erin spends watching YouTube over a five-day period? Check the THREE that apply.(3 points)
Responses

1311
13 over 11

5+811
5 plus 8 over 11

811+811+811+811+811
8 over 11 plus 8 over 11 plus 8 over 11 plus 8 over 11 plus 8 over 11

4011
40 over 11

5×811
5 times 8 over 11

Answer 1

To determine the expressions that represent the time Erin spends watching YouTube over a five-day period, we need to consider that she watches \( \frac{8}{11} \) of an hour each day. Over five days, she will spend:

\[
5 \times \frac{8}{11}
\]

Now, let's analyze each option provided:

1. **\( 13_{11} \) or \( \frac{13}{11} \)** - This does not represent the total time spent; it's not equivalent to \( 5 \times \frac{8}{11} \), so **not applicable**.

2. **\( 5 + \frac{8}{11} \)** - This does not correctly represent her total time as it adds an entire 5 hours to \(\frac{8}{11}\) hour, which is incorrect. So **not applicable**.

3. **\( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \)** - This correctly represents the total time spent over five days, as it adds \(\frac{8}{11}\) for each of the 5 days. So **applicable**.

4. **\( 40_{11} \) or \( \frac{40}{11} \)** - This is the result of multiplying \( 5 \times \frac{8}{11} \) because \( 5 \times \frac{8}{11} = \frac{40}{11} \). So **applicable**.

5. **\( 5 \times \frac{8}{11} \)** - This is the direct calculation of the time spent by multiplying the daily viewing time by the number of days. So **applicable**.

Thus, the three correct expressions are:

- \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \)
- \( \frac{40}{11} \)
- \( 5 \times \frac{8}{11} \)