IDNLearn.com provides a comprehensive solution for all your question and answer needs. Our Q&A platform is designed to provide quick and accurate answers to any questions you may have.

The help desk is keeping track of the number of minutes the average caller spends on hold.

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Average Time on Hold with Help Desk } \\
\hline Week & \begin{tabular}{c}
Average Time on Hold \\
(Minutes)
\end{tabular} \\
\hline 1 & 7 \\
\hline 2 & 5 \\
\hline 3 & 3 \\
\hline 4 & 2 \\
\hline 5 & 3 \\
\hline 6 & 5 \\
\hline
\end{tabular}

According to the table, during which interval did the average time spent on hold increase?

A. week 1 to week 3
B. week 1 to week 4
C. week 4 to week 6
D. week 3 to week 5


Sagot :

Let's analyze the average time on hold in the given intervals to determine when the average time spent on hold increased.

### Interval from Week 1 to Week 3:
- Average time on hold in Week 1: 7 minutes
- Average time on hold in Week 3: 3 minutes

Change in time [tex]\( \Delta t_{1\rightarrow3} = 3 - 7 = -4 \)[/tex]

Since the change is negative, the time on hold decreased between Week 1 and Week 3.

### Interval from Week 1 to Week 4:
- Average time on hold in Week 1: 7 minutes
- Average time on hold in Week 4: 2 minutes

Change in time [tex]\( \Delta t_{1\rightarrow4} = 2 - 7 = -5 \)[/tex]

Since the change is negative, the time on hold decreased between Week 1 and Week 4.

### Interval from Week 4 to Week 6:
- Average time on hold in Week 4: 2 minutes
- Average time on hold in Week 6: 5 minutes

Change in time [tex]\( \Delta t_{4\rightarrow6} = 5 - 2 = 3 \)[/tex]

Since the change is positive, the time on hold increased between Week 4 and Week 6.

### Interval from Week 3 to Week 5:
- Average time on hold in Week 3: 3 minutes
- Average time on hold in Week 5: 3 minutes

Change in time [tex]\( \Delta t_{3\rightarrow5} = 3 - 3 = 0 \)[/tex]

Since the change is zero, the time on hold did not increase between Week 3 and Week 5.

Based on this analysis, the interval during which the average time spent on hold increased is:

- Week 4 to Week 6