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  • Perplex
    IB Math AASL
    /
    Cartesian plane & lines
    /

    Problem Bank

    [Maximum mark: 4]

    A biker climbs a mountain with a slope of ​8%. He bikes a distance of ​12km​ along the road to reach a summit at an altitude of 1675​m.

    1. Show that he has climbed ​960m.

      [1]

    The relationship between the height ​h​ (in meters) of the biker above sea level and the distance ​d​ (in kilometers) travelled along the road can be modeled by

    ​
    h=ad+b.
    ​
    1. Find the values of ​a​ and ​b.

      [2]
    2. State the significance of the value of ​b​ in this context.

      [1]

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