More than one line on the same graph Simplified Revision Notes for NSC Mathematical Literacy

Revision notes with simplified explanations to understand More than one line on the same graph quickly and effectively.

Learn about More than one line on the same graph for your NSC Mathematical Literacy Exam. This Revision Note includes a summary of More than one line on the same graph for easy recall in your Mathematical Literacy exam

223+ students studying

More than one line on the same graph

1. Understanding Multiple Lines on a Graph

A graph can have more than one line to compare two or more situations.

Common Example:

Finance graphs compare expenses and income to determine profit or loss.
The point where the two graphs meet is called the break-even point.
- At this point, expenses = income, meaning no profit or loss.

infoNote

2. Worked Example: Business Finances

Scenario:

David sells solar lamps for R68 each and resells them for R100 each.

Fixed costs: R12 000 (rent, utilities, etc.).
Variable costs: Buying the lamps (R68 per lamp).

Step 1: Identify Costs

Fixed costs remain constant at R12 000.
Variable costs increase as more lamps are bought.
Total expenses = Fixed costs + (Number of lamps × Cost per lamp).

Step 2: Income Calculation

Income = Number of lamps sold × Selling price per lamp (R100).

Step 3: Finding the Break-even Point

The break-even point occurs where total expenses = income.
The graph shows this happens at 220 lamps.

3. Activity: Lift Club Example

Scenario:

Pieter wants to start a lift club to cover petrol costs of R 1200 per month.

Each passenger pays R 20 per day.
He gains one new passenger each week.

Key Questions & Answers:

How many passengers are needed to break even?

Three passengers (R 1200 ÷ R 20 per day).

What does the curved line show?

The cumulative contributions over time.

When does Pieter break even?

End of the third week.

Why is the expense line straight?

Fixed petrol cost of R 1200 per month.

What is Pieter's monthly profit after break-even?

R 280 per month.

Is this business profitable?

Yes, after 8 months, total profit = R 1680, even after a R 1000 car service.

infoNote

4. Key Takeaways

Multiple lines on a graph compare different variables (e.g., expenses vs income).
Break-even point: The point where revenue covers costs (no profit/loss).
Straight lines = Fixed costs, Curved lines = Accumulative data.

500K+ Students Use These Powerful Tools to Master More than one line on the same graph For their NSC Exams.

Enhance your understanding with flashcards, quizzes, and exams—designed to help you grasp key concepts, reinforce learning, and master any topic with confidence!

10 flashcards

Flashcards on More than one line on the same graph

Revise key concepts with interactive flashcards.

Try Mathematical Literacy Flashcards

4 quizzes

Quizzes on More than one line on the same graph

Test your knowledge with fun and engaging quizzes.

Try Mathematical Literacy Quizzes

29 questions

Exam questions on More than one line on the same graph

Boost your confidence with real exam questions.

Try Mathematical Literacy Questions