Maths Standard Year 11 - Module 1 - Lesson 12

Direct Variation and Proportional Relationships

Practise recognising y = kx, finding k and distinguishing direct variation from other linear models.

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1. Key Ideas

  • Direct variation has the form y = kx.
  • The graph passes through the origin.
  • There is no fixed starting amount.

2. Success Criteria

  • I can identify direct variation from equations and tables.
  • I can calculate the constant of variation.
  • I can explain why a fixed-fee model is not direct variation.

3. Short Answer Questions

1. Apples cost $4 per kilogram with no fixed fee. Write a direct variation equation for cost C and kilograms k. 3 marks

2. A worker earns $32 per hour with no allowance. Write a direct variation equation for pay P after h hours. 3 marks

3. A table includes (0,0), (3,21) and (5,35). Find k and write the equation. 3 marks

4. Explain why C = 10 + 4k is not direct variation even though it is linear. 2 marks

5. A recipe uses 250 g of flour for each cake. Write a formula for flour F for c cakes, then find F for 6 cakes. 4 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 12