Erin watches her favorite YouTube channel for 8/11

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

4011
40 over 11

1311
13 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

5+811
5 plus 8 over 11

5×811

1 answer

To find the total time Erin spends watching YouTube over a five-day period, we can express it in different ways. She watches \( \frac{8}{11} \) of an hour each day for 5 days. Therefore:

  1. The total time can be calculated as \( 5 \times \frac{8}{11} \).
  2. Another way to express this is by adding \( \frac{8}{11} \) for each of the 5 days: \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \).
  3. Additionally, it may also be represented with a mixed expression of whole numbers and fractions.

Among the responses, the valid expressions that represent the time Erin spends watching YouTube over a five-day period are:

  1. \( 5 \times \frac{8}{11} \)
  2. \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \)
  3. \( \frac{40}{11} \) (since \( 5 \times 8 = 40 \))

Therefore, the three expressions that apply are:

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

(Note: \( \frac{13}{11} \) and \( 5 + \frac{8}{11} \) are not correct as they do not represent the total time for 5 days.)