To determine the correct statement, we need to analyze the data provided in the table and compare it with the given percentages of students who eat outside during the first and second lunch periods.
First, let's confirm the percentage of students who eat outside during the first lunch period:
- We are already informed that [tex]\( 42\% \)[/tex] of first-lunch students eat outside.
Next, let's find the percentage of students who eat outside during the second lunch period based on the provided data from the table:
- According to the table, [tex]\( 0.21 \)[/tex] (or [tex]\( 21\% \)[/tex]) of students have their lunch outside during the second lunch period.
Now, we need to compare these percentages:
- For the first lunch period, [tex]\( 42\% \)[/tex] of students eat outside.
- For the second lunch period, [tex]\( 21\% \)[/tex] of students eat outside.
We need to choose the correct statement from the following options:
A. A greater percentage of second-lunch students ([tex]\( 45\% \)[/tex]) eat outside.
- This statement is incorrect because [tex]\( 21\% \)[/tex] is less than [tex]\( 45\% \)[/tex].
B. A smaller percentage of second-lunch students ([tex]\( 21\% \)[/tex]) eat outside.
- This statement is correct because [tex]\( 21\% \)[/tex] is indeed less than [tex]\( 42\% \)[/tex].
C. A greater percentage of second-lunch students ([tex]\( 55\% \)[/tex]) eat outside.
- This statement is incorrect because [tex]\( 21\% \)[/tex] is less than [tex]\( 55\% \)[/tex].
D. A smaller percentage of second-lunch students ([tex]\( 38\% \)[/tex]) eat outside.
- This statement is incorrect because [tex]\( 21\% \)[/tex] is less than [tex]\( 38\% \)[/tex].
Thus, the correct statement is:
B. A smaller percentage of second-lunch students ([tex]\( 21\% \)[/tex]) eat outside.
