## Exam-Style Questions on Linear Models## Problems on Linear Models adapted from questions set in previous Mathematics exams. |

## 1. | IB Studies |

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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