## Exam-Style Question on Linear Models## A mathematics exam-style question with a worked solution that can be revealed gradually |

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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