Modelling activity for Year 10 Maths students. To teach students how to model the cost of buying a car on installment using linear equations and graphs.

Modelling with linear graphs via a real life situation. What is the better option when buying a car on instalment? Practice sketching linear graphs, solve simultaneous equations, compare the two options graphically and algebraically. Interpret graphical and algebraic solutions.

1. • Have students analyze the graph and draw conclusions.
   • Ask questions like, “How many months will it take to pay off the car?” or “What’s the total amount paid in installments?
     • Discuss the importance of understanding installment plans when making financial decisions.
     • Explore variations, such as changing the down payment or interest rate, and see how they affect the graph.
     • Provide practice problems for students to create linear equations and graphs for different car purchase scenarios.
     • Encourage them to calculate the total cost of the car over time.