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The number of users logged in to the app varies differently over the weekend. This table shows the average number of users logged in, [tex]$y$[/tex], on either Saturday or Sunday, [tex]$x$[/tex] hours after 6:00 a.m.

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline
Hours After 6:00 a.m., [tex][tex]$x$[/tex][/tex] & 0 & 2 & 4 & 6 & 8 & 10 & 12 & 14 \\
\hline
Users Logged In, [tex]$y$[/tex] & 345 & 682 & 1,400 & 1,825 & 1,608 & 1,381 & 906 & 678 \\
\hline
\end{tabular}

The marketing department wants to use these data sets to determine what time of day to post an exciting update so it will be seen by the most users right away.

Select the correct answer from each drop-down menu.

During the week, it should post:

On the weekend, it should post:



Answer :

GinnyAnswer
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.

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