Model changing quantities
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Log in to continueUse linear and quadratic models, including simple interest, and evaluate the assumptions behind them.
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An account earns simple interest on $400 at 2% per year for 1 years, with no fees. How much interest is earned? Give your answer to 2 decimal places.
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Answer: $8.00
- Use I = Prt with r = 2/100.
- I = 400 × 2/100 × 1.
- Interest is $8.00.
- 400 × 2 × 1 = 800.
- 800 ÷ 100 = 8.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use linear and quadratic models, including simple interest, and evaluate the assumptions behind them.
Read the official VCAA curriculum description (VC2M9A06)
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.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M9A06-C01Calculate interest on a fixed original principal.
- VC2M9A06-C02Formulate, evaluate and report a financial model.
- VC2M9A06-C03Interpret a formula in its context and distinguish a fixed cost from a changing part.
- VC2M9A06-C04Choose between linear, quadratic or other simple models; evaluate and communicate the model.
- VC2M9A06-C05Apply and explain model changing quantities using build and check a model.
- VC2M9A06-C06Apply and explain model changing quantities using calculate and explain each step.
- VC2M9A06-C07Apply and explain model changing quantities using compare evidence and check a claim.
- VC2M9A06-C08Apply and explain model changing quantities using work backwards from what is known.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Simple interest over timeCalculate interest on a fixed original principal.
- D02Choose and test a change modelInterpret a formula in its context and distinguish a fixed cost from a changing part.
- D03Build and check a modelApply and explain model changing quantities using build and check a model.
- D04Calculate and explain each stepApply and explain model changing quantities using calculate and explain each step.
- D05Compare evidence and check a claimApply and explain model changing quantities using compare evidence and check a claim.
- D06Work backwards from what is knownApply and explain model changing quantities using work backwards from what is known.