Q6. - Algebra 1

Question

The table shows how Ping spent his allowance of $40. Make a circle graph of the data.

Step-by-Step Solution

Answer

Step-1. Apply the concept of a circle graph.

A circle graph shows how the parts of something relate to the whole. A circle graph is divided into sectors, where each sector represents a particular category. 

Step-2. Analyze the data.

Given data of how the amount is spent:

How spent	Amount ($)
Savings	15
Downloaded music	8
Snacks	5
T-shirt	12

Step-1: Find the whole

All of the expenses together =  

Step-2: Find the parts

Each item to be graphed represents a part of the whole. To complete the circle graph, we will find exactly what fraction each item represents. We will find out the number of degrees each item represents on the circle.

Step-3: Find the degrees 

How spent	Ratio to the whole degree	Degree in circle
Savings	$\frac{15}{40}=\frac{3}{8}$	$\frac{3}{8}\times {360}^o={135}^o$
Downloaded music	$\frac{8}{40}=\frac{1}{5}$	$\frac{1}{5}\times {360}^o={72}^o$
Snacks	$\frac{5}{40}=\frac{1}{8}$	$\frac{1}{8}\times {360}^o={45}^o$
T-shirt	$\frac{12}{40}=\frac{3}{10}$	$\frac{3}{10}\times {360}^o={108}^o$

Step-3. Draw the circle graph.