# Exam-Style Question on Linear Models

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 90. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.

The diagram show a wheelchair ramp from ground level to a height of 70cm.

(a) Calculate the gradient of the ramp.

Ramp manufacturers recommend a gradient no steeper than 1:12 for safe independent use.

(b) Using your answer to part (a), comment on whether this wheelchair ramp is safe for independent use.

The equation of a different wheelchair ramp is $$2x + 22y -1860 = 0$$ where $$y$$ represents the height and $$x$$ the horizontal distance, both in centimetres.

(c) Find the horizontal distance covered by this wheelchair ramp.

(d) Determine whether this wheelchair ramp is safe for independent use.

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