Complete the frequency table:

\begin{tabular}{|c|l|l|l|l|}
\hline \multicolumn{5}{|c|}{Method of Travel to School} \\
\hline & Walk/Bike & Bus & Car & Row Totals \\
\hline Under age 15 & & & 60 & \\
\hline Age 15 and above & 65 & & & 195 \\
\hline Column Totals & 152 & 110 & 98 & 360 \\
\hline
\end{tabular}

How many students age 15 and above take a car to school?

A. 18
B. 38
C. 50
D. 87



Answer :

Let's complete the frequency table and find the number of students aged 15 and above who take a car to school.

1. Given Information:
- Total number of students: 360
- Total students aged 15 and above: 195
- Total students using Walk/Bike: 152
- Total students using Bus: 110
- Total students using Car: 98
- Students aged 15 and above using Walk/Bike: 65
- Students under age 15 using Car: 60

2. Calculate students under age 15:
[tex]\[ \text{Students under age 15} = \text{Total students} - \text{Total students aged 15 and above} = 360 - 195 = 165 \][/tex]

3. Calculate students under age 15 using Walk/Bike:
[tex]\[ \text{Students under age 15 using Walk/Bike} = \text{Total Walk/Bike} - \text{Students aged 15 and above using Walk/Bike} = 152 - 65 = 87 \][/tex]

4. Calculate students under age 15 using Bus:
[tex]\[ \text{Students under age 15 using Bus} = \text{Students under age 15} - \text{Students under age 15 using Walk/Bike} - \text{Students under age 15 using Car} \][/tex]
[tex]\[ = 165 - 87 - 60 = 18 \][/tex]

5. Calculate students aged 15 and above using Car:
[tex]\[ \text{Total students using Car} = 98 \][/tex]
Since students under age 15 using Car are 60:
[tex]\[ \text{Students aged 15 and above using Car} = \text{Total Car} - \text{Students under age 15 using Car} = 98 - 60 = 38 \][/tex]

6. Calculate students aged 15 and above using Bus:
[tex]\[ \text{Students aged 15 and above using Bus} = \text{Total students aged 15 and above} - \text{Students aged 15 and above using Walk/Bike} - \text{Students aged 15 and above using Car} \][/tex]
[tex]\[ = 195 - 65 - 38 = 92 \][/tex]

Now, we have completed the frequency table:

\begin{tabular}{|c|l|l|l|l|}
\hline \multicolumn{5}{|c|}{ Method of Travel to School } \\
\hline & Walk/Bike & Bus & Car & Row totals \\
\hline Under age 15 & 87 & 18 & 60 & 165 \\
\hline Age 15 and above & 65 & 92 & 38 & 195 \\
\hline Column totals & 152 & 110 & 98 & 360 \\
\hline
\end{tabular}

So, the number of students aged 15 and above who take a car to school is [tex]\( \boxed{38} \)[/tex].