Let's analyze the given data to answer the questions:
### Data Analysis:
We have the hours after 6:00 a.m. represented as [tex]\( x \)[/tex] and the number of users logged in as [tex]\( y \)[/tex]:
[tex]\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|}
\hline
\text{Hours After 6.00 a.m., } x & 0 & 2 & 4 & 6 & 8 & 10 & 12 & 14 \\
\hline
\text{Users Logged In, } y & 345 & 682 & 1400 & 1825 & 1608 & 1381 & 906 & 678 \\
\hline
\end{array}
\][/tex]
Now, let's determine the peak time when the maximum number of users are logged in:
1. Identify the maximum number of users from the given data.
2. Find the corresponding hour after 6:00 a.m. when this maximum occurs.
### Step-by-step Solution:
1. Identifying the Maximum Users:
- The highest value in the users logged in data ([tex]\( y \)[/tex]) is [tex]\( 1825 \)[/tex].
2. Finding the Corresponding Hour:
- The value [tex]\( 1825 \)[/tex] corresponds to [tex]\( x = 6 \)[/tex] (hours after 6:00 a.m.).
3. Calculating the Time of Day:
- If [tex]\( x = 6 \)[/tex], then the actual time of the day is [tex]\( 6:00 \text{ a.m.} + 6 \text{ hours} = 12:00 \text{ noon} \)[/tex].
From the analyzed data, during the weekend, the app should post at 12:00 noon to reach the maximum number of users.
However, for the weekdays, let's hypothesize without exact weekday data; companies usually consider peak times like early or late hours. Let's select around 6 or 8 pm when people are typically free from work or school.
Thus, the correct selections are:
- During the week, it should post In the evening (around 6:00 PM or 8:00 PM).
- On the weekend, it should post at 12:00 noon.
