Question

part a: by percent
a circle graph represents a whole, divided into sections. one type of circle graph is called a percent circle, because it is divided into 100 equal sections.

1. read the circle graph to answer:

a) what percent of students have part time paid work? ________
b) what is the type of work done by the highest percent of students? ________
c) if 200 students were surveyed for this graph, how many students volunteer? ________ explain how you calculated this.

1. a family recorded their monthly spending in a table.

a) complete the table. the first one is done for you.

category	amount per month	percent of budget = \\(\frac{amount spent}{total}\times100\\%\\)
charity	$20	\\(\frac{20}{2000}\times100\\% = 1\\%\\)
entertainment	$80
food	$400
rent	$900
transportation	$220
other	$80
total	$

Explanation:

Step1: Analyze circle - graph for part (a)

Estimate from the circle - graph.

Step2: Analyze circle - graph for part (b)

Identify the largest - sized section.

Step3: Calculate for part (c)

Let the percentage of volunteers be \(p\) (estimated from the graph). Multiply the total number of students (\(n = 200\)) by \(p\).

Step4: Calculate percentages for table in part 2

First, find the total amount spent: \(300 + 20+80 + 400+900+220 + 80=2000\). Then use the formula \(\text{Percent}=\frac{\text{Amount spent}}{\text{total}}\times100\%\) for each category.

For clothes: \(\frac{300}{2000}\times100\% = 15\%\)
For entertainment: \(\frac{80}{2000}\times100\% = 4\%\)
For food: \(\frac{400}{2000}\times100\% = 20\%\)
For rent: \(\frac{900}{2000}\times100\% = 45\%\)
For transportation: \(\frac{220}{2000}\times100\% = 11\%\)
For other: \(\frac{80}{2000}\times100\% = 4\%\)

Answer:

1.
a) (Estimated value from the graph)
b) (Type corresponding to the largest - sized section in the graph)
c) (Value calculated as \(200\times p\), where \(p\) is the percentage of volunteers from the graph)
2.

Category	Amount per Month	Percent of Budget
Charity	\(\$20\)	\(1\%\)
Entertainment	\(\$80\)	\(4\%\)
Food	\(\$400\)	\(20\%\)
Rent	\(\$900\)	\(45\%\)
Transportation	\(\$220\)	\(11\%\)
Other	\(\$80\)	\(4\%\)
Total	\(\$2000\)	\(100\%\)