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 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 1311 13 over 11 5×811 5 times 8 over 11 4011

Answer 1

To find the amount of time Erin spends watching YouTube over a five-day period, we can consider that she watches \(\frac{8}{11}\) of an hour each day. Therefore, for five days, the total time would be represented by the following expressions:

1. \(5 \times \frac{8}{11}\) – This expression multiplies the time spent each day by the number of days (5).
2. \(\frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\) – This is the addition of the time spent each day over five days.
3. \(\frac{40}{11}\) – This is the result of \(5 \times \frac{8}{11}\) or \(\frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\), simplified.

Therefore, the three correct expressions that represent the time Erin spends watching YouTube over a five-day period are:

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

The other options like \(5 + \frac{8}{11}\), \( \frac{13}{11}\), and \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\) do not correctly calculate the total time for five days.

Here are the three valid expressions:
1. \(5 \times \frac{8}{11}\)
2. \(\frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11}\)
3. \(\frac{40}{11}\)