The closest flying fox roost site is the Mount Ommaney – Westlake Drive
    Distance between roost site A and B
= 4.3cm x 150 000
= 645 000 (÷100 000)
= 6.45km
Therefore, the distance between roost site A and B is 6.45km
    i. 131mm
ii. 13.1cm = 131mm
        = 131 : 150 000
        = 131 x 150 000
        = 19 650 000     (÷10 000)
        = 1965 km

Therefore, the measurement in kilometres in 1965 km

iii. total distance of round trip = 1965 x 2
                       = 3930 km
Therefore, the total distance of the round trip in 3930 km

iv. speed = distance/time                    (Let 1.5 hours = 90 minutes)
               = 3930/90
       = 43.666…
       = 43.67 km/h (2dp)
Therefore, the average speed of the cruise boat is 43.67 km/h

    1cm = 150 000cm
1km = 900 000cm (÷150 000)
       = 6cm

Therefore, the radius is 6cm

If Gracie, the grey- headed flying fox averages a travel distance of 9km out from the Indooroopilly roost site she could possibly visit;
    The GAP, Riaweena St
    Enoggera creek Herston
    East Brisbane, Norman Creek
    Mount Ommaney – Westlake Drive
    Sunny Bank (Les Atkinson Park)


    Let there be a total of 19 roost site            (Hectare ÷ 100 = kilometres)
19 x 3.5
= 66.5 hectares (÷100)
= 0.665 square kilometres

Therefore, the total area covered by roost site is 0.665 square kilometres

    L = 19cm (x 150 000) = 2 850 000
W = 17.6cm (x 150 000) = 2 640 000

Area = 2 850 000 x 2 640 000
         To metres= (÷100)
        = 2 850 000 ÷ 100 = 28 500
        = 2 640 000 ÷100 = 26 400

Area = 28 500 x 26 400
        To km = (÷1000)
        = 28 500 ÷1000 = 28.5
        = 26 400 ÷1000 = 26.4

           Area in km2= 28.5 x 26.4
                             = 752.4 km2

         Therefore, the total area of the metropolitan area is approximately 752.4km2

    e/f  ×100=0.665/752.4  ×100
             = 0.08838…
            ≈0.09% (round to 2dp)

Read less