1. Section 1

1.28. Explore

Mathematics 20-3 Module 1

Section 1: Personal Budgets

 

Explore

 

This photo shows a painter in front of some shutters.

Comstock/Thinkstock

In Discover you determined that the percentages shown on the circle graph or pie graph total 100%. Dollar amounts can also be calculated from the percentages, as long as the expense total is given.

 

In the following activity you will examine different ways to create circle graphs.

 

Geraldine works as a painter. Her take-home pay is $2500 every month. She has prepared a balanced budget with a goal of saving $250 every month. Geraldine wants to build her savings in case there’s a down-turn in the economy and her income drops.

 

Geraldine’s Monthly Budget

Income

 

Expenses

Regular

$2500

 

Rent

$800

 

 

 

Car

$500

 

 

 

Food

$400

 

 

 

Clothing

$200

 

 

 

Entertainment

$200

 

 

 

Other

$150

 

 

 

Savings

$250

 

 

 

 

 

Totals

$2500

 

 

$2500

 

If Geraldine asked you to prepare a circle graph, there are several choices.

 

Method 1: Draw the graph using a compass and a protractor.

 

This is a play button that opens How to Make a Circle Graph.

Click on the button to the left to view How to Make a Circle Graph.

 

The following questions apply to the circle graph for Geraldine’s budget.

 

Try This 1
  1. What is the sum of all the percentages shown for Geraldine’s budget? hint

  2. Total all the degrees for each budget sector (wedge). What is this total? How does knowing this total help you create circle graphs? hint

  3.  
    1. If Geraldine’s total expenses were $2500 and she spent $500 on car expenses, what percentage of her budget was spent on car expenses? hint

    2. What would be the degrees of the sector (wedge) used to represent car expenses in the circle graph? hint
Remember that there are 360° in a circle. If car expenses equal 20% of the budget, then what is 20% of 360°?
You could set up a proportion like this to find what percentage $500 is of $2500.

The sum of all the degrees of the budget sectors must total 360°, which is the number of degrees in a circle.
All of the budget categories, including savings, must always total 100% in a balanced budget. Geraldine’s was balanced.