Q59. - Algebra 1

Question

The table shows how Dylan spent his money at the fair. 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 money spent at the fair:

Category	Amount ($)
Rides	6
Food	10
Games	4

Step1: Find the whole

All of the expenses together = $ 20

Step2: 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.

Step3: Find the degrees 

Category	Ratio to the whole	Degree in circle
Rides	$\frac{6}{20}=\frac{3}{10}$	$\frac{3}{10}\times 360°=108°$
Food	$\frac{10}{20}=\frac{1}{2}$	$\frac{1}{2}\times 360°=180°$
Games	$\frac{4}{20}=\frac{1}{5}$	$\frac{1}{5}\times 360°=72°$

Step-3. Draw the circle graph.