Linear models for everyday costs
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Bike hire costs a fixed $8 plus $3 per hour. What is the charge for 4 hours? Give your answer to 2 decimal places.
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Answer: $20.00
- The model is C = 8 + 3h.
- For h = 4, C = 8 + 3 × 4 = $20.
- 3 × 4 = 12.
- 8 + 12 = 20.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Choose a rule, table or graph for a practical situation and explain what its solution means.
Read the official VCAA curriculum description (VC2M8A03)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M8A03-C01Formulate and evaluate linear cost models.
- VC2M8A03-C02Use a linear model to identify break-even and review its practical limits.
- VC2M8A03-C03Formulate and represent a linear model, communicate findings and review its assumptions.
- VC2M8A03-C04Apply and explain linear models for everyday costs using build and check a model.
- VC2M8A03-C05Apply and explain linear models for everyday costs using calculate and explain each step.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Separate fixed and changing costsFormulate and evaluate linear cost models.
- D02What does a zero profit mean?Use a linear model to identify break-even and review its practical limits.
- D03Build and check a modelApply and explain linear models for everyday costs using build and check a model.
- D04Calculate and explain each stepApply and explain linear models for everyday costs using calculate and explain each step.