Maths Standard Year 11 - Module 1 - Lesson 13

Comparing Linear Models and Break-Even Points

Practise writing model equations, finding break-even points and justifying decisions.

Name
Date
Class

1. Key Ideas

  • A break-even point is where two models have the same output.
  • Set the two equations equal to find the break-even input.
  • Interpret which option is better before and after the break-even point.

2. Success Criteria

  • I can write equations for two options.
  • I can solve for the break-even point.
  • I can justify a decision using calculations.

3. Short Answer Questions

1. Plan A costs $20 plus $5 per GB. Plan B costs $50 plus $2 per GB. Find the break-even number of GB. 4 marks

2. Using Question 1, decide which plan is cheaper at 5 GB and 15 GB. 4 marks

3. Company A charges $35 plus $10 per hour. Company B charges $65 plus $4 per hour. Find the break-even time. 4 marks

4. Sam has $200 and saves $30 per week. Alex has $80 and saves $50 per week. When will they have the same savings? 4 marks

5. Explain why the cheaper option can change as the input increases. 2 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 13