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



Answer :

Let's analyze the information given in the table. The table provided specifies the percentages of students who eat outside and inside for both lunch periods, as well as the totals.

To determine which statement is true, we need to identify the percentage of second-lunch students who eat outside.

From the table:
- For first lunch:
- Students who eat outside: 0.19 or 19%
- Students who eat inside: 0.35 or 35%
- Total: 0.54 or 54%

- For second lunch:
- Students who eat outside: 0.18 or 18%
- Students who eat inside: 0.24 or 24%
- Total: 0.46 or 46%

- Grand totals:
- Students who eat outside: 0.41 or 41%
- Students who eat inside: 0.59 or 59%
- Total: 1.0 or 100%

Now we focus on the relevant detail:

The percentage of second-lunch students who eat outside is [tex]\( 18\% \)[/tex].

Given this, we compare this percentage with the provided statements:

A. A greater percentage of second-lunch students (41%) eat outside.
B. A smaller percentage of second-lunch students (18%) eat outside.
C. A greater percentage of second-lunch students (39%) eat outside.
D. A smaller percentage of second-lunch students (24%) eat outside.

Clearly, the correct statement that aligns with the data is:
B. A smaller percentage of second-lunch students (18%) eat outside.

Therefore, statement B is true.