Northlake High School has two lunch periods. Students can eat their lunch in the cafeteria or on an outside patio. About [tex]$35 \%$[/tex] of students who have first lunch eat outside. Compare this with the percentage of second-lunch students who eat outside.

\begin{tabular}{|c|c|c|c|}
\hline
& Eat Outside & Eat Inside & Total \\
\hline
First lunch & 0.19 & 0.35 & 0.54 \\
\hline
Second lunch & 0.18 & 0.24 & 0.46 \\
\hline
Total & 0.41 & 0.59 & 1.0 \\
\hline
\end{tabular}

Select the true statement.

A. A greater percentage of second-lunch students ([tex]$39 \%$[/tex]) eat outside.
B. A smaller percentage of second-lunch students ([tex]$24 \%$[/tex]) eat outside.
C. A greater percentage of second-lunch students ([tex]$41 \%$[/tex]) eat outside.
D. A smaller percentage of second-lunch students ([tex]$18 \%$[/tex]) eat outside.



Answer :

To determine the percentage of students eating outside during the first and second lunch periods, we need to calculate the relevant percentages using the given data.

### Step-by-Step Solution:

1. Calculate the percentage for first lunch:
- Number of students who eat outside = 0.19
- Total number of students during first lunch = 0.54

The percentage of students eating outside during first lunch is:
[tex]\[ \text{Percentage}_{\text{First Lunch}} = \left( \frac{0.19}{0.54} \right) \times 100 \][/tex]

2. Calculate the percentage:
[tex]\[ \text{Percentage}_{\text{First Lunch}} = \left( \frac{0.19}{0.54} \right) \times 100 \approx 35.19\% \][/tex]

3. Calculate the percentage for second lunch:
- Number of students who eat outside = 0.18
- Total number of students during second lunch = 0.46

The percentage of students eating outside during second lunch is:
[tex]\[ \text{Percentage}_{\text{Second Lunch}} = \left( \frac{0.18}{0.46} \right) \times 100 \][/tex]

4. Calculate the percentage:
[tex]\[ \text{Percentage}_{\text{Second Lunch}} = \left( \frac{0.18}{0.46} \right) \times 100 \approx 39.13\% \][/tex]

### Conclusion:
- The percentage of second-lunch students who eat outside is approximately [tex]\(39.13\%\)[/tex].

Therefore, the true statement is:

A. A greater percentage of second-lunch students ([tex]$39 \%$[/tex]) eat outside.