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 times 8 over 11

5+811
5 plus 8 over 11

4011
40 over 11

1311
13 over 11

811+811+811+811+811

1 answer

Let's analyze Erin's daily watch time and what represents her total watch time over a five-day period.

Erin watches \( \frac{8}{11} \) of an hour each day.

To find the total time Erin spends watching YouTube over a five-day period, we can multiply her daily watch time by 5:

  1. Multiplication Expression:

    • \( 5 \times \frac{8}{11} \) (This correctly represents her total time over five days.)
  2. Adding Daily Watch Time:

    • \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \) (This correctly represents her total time as well, since it adds up her daily watch time for five days.)

Now, let's check the responses provided:

  • \( 5 \times \frac{8}{11} \) (5 times 8 over 11): ✔ (This is correct.)
  • \( 5 + \frac{8}{11} \) (5 plus 8 over 11): ✖ (This is not correct; this adds instead of multiplying.)
  • \( \frac{40}{11} \): ✔ (This is equivalent to \( 5 \times \frac{8}{11} \) and represents the correct total time.)
  • \( \frac{13}{11} \): ✖ (This is not correct; it doesn’t represent the total time.)
  • \( \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} \): ✔ (This represents the total time correctly.)

The correct expressions are:

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

So, the final three correct options are:

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