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Westin Trading normally nets [tex]$\$[/tex]6[tex]$ million per month. The table shows the variance from the average for five months.

\begin{tabular}{|c|c|c|c|c|}
\hline \multicolumn{5}{|c|}{ Sales Above/Below Average (Millions) } \\
\hline April & May & June & July & Aug. \\
\hline -2.5 & $[/tex]-2 \frac{1}{2}[tex]$ & 3.1 & -1.6 & $[/tex]2 \frac{2}{3}[tex]$ \\
\hline
\end{tabular}

Which comparison is true? Use the number line to help.

A. June $[/tex]<[tex]$ August

B. April $[/tex]=[tex]$ May

C. May \ \textgreater \ July

D. May $[/tex]=$ August

Sagot :

Let's analyze the variance from the average sales for each month given in the table:

- April: -2.5
- May: [tex]\(-2 \frac{1}{2}\)[/tex] (which is -2.5)
- June: 3.1
- July: -1.6
- August: [tex]\(2 \frac{2}{3}\)[/tex] (which is approximately 2.666...)

Now, let's check each of the given comparisons:

1. June < August:
- The variance for June is 3.1 and for August is approximately 2.666.
- We compare 3.1 and 2.666.
- 3.1 is not less than 2.666. This statement is False.

2. April = May:
- The variance for April is -2.5 and for May is also -2.5.
- Since -2.5 equals -2.5, this statement is True.

3. May > July:
- The variance for May is -2.5 and for July is -1.6.
- We compare -2.5 and -1.6.
- -2.5 is less than -1.6, so -2.5 is not greater than -1.6. This statement is False.

4. May = August:
- The variance for May is -2.5 and for August is approximately 2.666.
- Since -2.5 is not equal to 2.666, this statement is False.

So, the correct analysis concludes:

1. June < August: False
2. April = May: True
3. May > July: False
4. May = August: False