To determine the expressions that represent the total time Erin spends watching YouTube over a five-day period, we can analyze each option:
Erin watches \( \frac{8}{11} \) of an hour each day. To find the total time over five days, we can simply multiply the daily viewing time by 5.
Let's evaluate each option:
a. \( \frac{13}{11} \)
This does not represent the total time Erin spends watching YouTube, as it does not include the correct multiplication for five days. (Not correct)
b. \( \frac{40}{11} \)
This is not a direct multiplication of the daily time for five days. (Not correct)
c. \( 5 \times \frac{8}{11} \)
This expresses the total time correctly:
\[
5 \times \frac{8}{11} = \frac{40}{11}
\]
(Correct)
d. \( 8/11 + 8/11 + 8/11 + 8/11 + 8/11 \)
This is adding the daily time for five days, which also equals:
\[
\frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} + \frac{8}{11} = 5 \times \frac{8}{11} = \frac{40}{11}
\]
(Correct)
e. \( 5 + \frac{8}{11} \)
This simplifies to
\[
5 + \frac{8}{11} = \frac{55}{11} + \frac{8}{11} = \frac{63}{11}
\]
which does not represent the time spent observing YouTube over those five days. (Not correct)
Correct Responses:
The correct expressions that represent the time Erin spends watching YouTube over a five-day period are:
- c. \( 5 \times \frac{8}{11} \)
- d. \( 8/11 + 8/11 + 8/11 + 8/11 + 8/11 \)
Since the prompt asks for THREE that apply, and only two fit, please check and let me know if I need to revisit any specific details!
1 answer