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NSWMaths Standard 2Quick questions
Year 11: Algebra
Quick questions on Linear models for HSC Maths Standard 2
3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What are building the model from the words?Show answer
To construct the model, pull two numbers out of the description and choose letters that suit the situation.
What is using the model?Show answer
Once the model is built, predicting an output is just substitution. Replace the input variable with the given value and evaluate, taking care to multiply by the rate before adding the fixed amount (order of operations). For the plumber model , the cost of a -hour job is
What is building the model stage by stage?Show answer
It helps to see a model grow on the axes the same way you would build it on paper. The stages below build the plumber model on cost-versus-hours axes: set up the axes for the context, mark the fixed fee at the intercept, step out the rate, then rule the line and use it to predict.
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