Chapter SH, Problem 15.1E

a.

To determine

To draw the circle graph using the data in the table.

Explanation of Solution

Given:

The given table is −

  

Calculation:

Add the total number of students

  $252+135+432+81=900$

Now, calculate the angles with respect to the center as follows-

  $\begin{array}{l}\frac{252}{900}=\frac{w}{{360}^{\circ }}\\ w\approx {101}^{\circ }\\ \frac{135}{900}=\frac{x}{{360}^{\circ }}\\ x={54}^{\circ }\\ \frac{432}{900}=\frac{y}{{360}^{\circ }}\\ y={173}^{\circ }\\ \frac{81}{900}=\frac{z}{{360}^{\circ }}\\ z={32}^{\circ }\end{array}$

Use compass to draw the angle-

  

Now, label each sector.

  

b.

To determine

To find the percent of students that ride the bus.

Answer to Problem 15.1E

  $48\%$

Explanation of Solution

Given:

The given table is −

  

Calculation:

The percent of students that ride bus is

  $\begin{array}{l}=\frac{432}{900}\times 100\\ =48\%\end{array}$

c.

To determine

To find the number of students that walk more than ride in a car.

Answer to Problem 15.1E

  $3$

Explanation of Solution

Given:

The given table is −

  

Calculation:

The number of times students walk more than ride in a car is

  $\begin{array}{l}=\frac{252}{81}\\ =3.1\\ \approx 3\end{array}$

Hence, $3$ times more students walk more than ride in a car.