Answered

IDNLearn.com provides a comprehensive platform for finding accurate answers. Our platform is designed to provide quick and accurate answers to any questions you may have.

Which data table indicates a positive linear association between the hours worked and the daily wages of waiters in a restaurant?

A. table B
\begin{tabular}{|c|c|}
\hline Hours Worked & Daily Wage (\[tex]$) \\
\hline 9 & 45 \\
\hline 8 & 40 \\
\hline 7 & 45 \\
\hline 6 & 40 \\
\hline
\end{tabular}

B. table C
\begin{tabular}{|c|c|}
\hline Hours Worked & Daily Wage (\$[/tex]) \\
\hline 9 & 45 \\
\hline 8 & 45 \\
\hline 7 & 45 \\
\hline 6 & 45 \\
\hline
\end{tabular}

C. table D
\begin{tabular}{|c|c|}
\hline Hours Worked & Daily Wage (\$) \\
\hline 6 & 30 \\
\hline 7 & 35 \\
\hline 8 & 40 \\
\hline 9 & 45 \\
\hline
\end{tabular}

Sagot :

GinnyAnsweridn
To determine which data table indicates a positive linear association between the hours worked and the daily wages of waiters, we need to examine each table and see if there is a pattern of increasing wages with increasing hours worked.

Let's analyze the data tables provided:

Table B:
[tex]\[ \begin{array}{|c|c|} \hline \text{Hours Worked} & \text{Daily Wage (\$)} \\ \hline 9 & 45 \\ \hline 8 & 40 \\ \hline 7 & 45 \\ \hline 6 & 40 \\ \hline \end{array} \][/tex]
- For 9 hours worked, the wage is \[tex]$45. - For 8 hours worked, the wage is \$[/tex]40.
- For 7 hours worked, the wage is \[tex]$45. - For 6 hours worked, the wage is \$[/tex]40.

In Table B, we notice that the daily wage does not consistently increase as the hours worked increase. Hence, Table B does not show a positive linear association.

Table C:
[tex]\[ \begin{array}{|c|c|} \hline \text{Hours Worked} & \text{Daily Wage (\$)} \\ \hline 9 & 45 \\ \hline 8 & 45 \\ \hline 7 & 45 \\ \hline 6 & 45 \\ \hline \end{array} \][/tex]
- For 9 hours worked, the wage is \[tex]$45. - For 8 hours worked, the wage is \$[/tex]45.
- For 7 hours worked, the wage is \[tex]$45. - For 6 hours worked, the wage is \$[/tex]45.

In Table C, the daily wage remains constant regardless of the hours worked, meaning there is no variability in wages. Therefore, Table C does not indicate a positive linear association.

Table D:
[tex]\[ \begin{array}{|c|c|} \hline \text{Hours Worked} & \text{Daily Wage (\$)} \\ \hline 6 & 30 \\ \hline 7 & 35 \\ \hline 8 & 40 \\ \hline 9 & 45 \\ \hline \end{array} \][/tex]
- For 6 hours worked, the wage is \[tex]$30. - For 7 hours worked, the wage is \$[/tex]35.
- For 8 hours worked, the wage is \[tex]$40. - For 9 hours worked, the wage is \$[/tex]45.

In Table D, we observe that as the hours worked increase, the daily wage also increases consistently. Therefore, Table D shows a positive linear association.

By reviewing each table, we find that Table D indicates a positive linear association between the hours worked and the daily wages of waiters.

Hence, the correct answer is:
D. Table D.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.