Grundkompetenz: AG 2.1, AG 4.1, FA 1.8, FA 4.3
Die Wägen von Standseilbahnen fahren auf Schienen und können große Steigungen bewältigen.
Eine bestimmte Standseilbahn hat eine konstante Steigung von [math]40\%[/math]. [br][br][b][size=150][br][br]1) Berechnen Sie, welchen Höhenunterschied ein Wagen dieser Bahn überwindet, wenn er von der Talstation bis zur Bergstation eine Fahrstrecke von [math]180m[/math] zurücklegt.[/size][/b]
Bei den meisten Standseilbahnen gibt es in der Mitte der Strecke eine Ausweichstelle, bei der der talwärts fahrende Wagen dem bergwärts fahrenden Wagen ausweichen kann.[br]In der nachstehenden Abbildung ist eine solche Ausweichstelle modellhaft dargestellt.[br][img]data:image/png;base64,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[/img][br]Der Funktionsgraph von [math]f[/math] schließt an den Stellen [math]0[/math] und [math]3[/math] knickfrei an die eingezeichneten Geradenstücke an. „Knickfrei“ bedeutet, dass die Funktionen an denjenigen Stellen, an denen ihre Graphen aneinander anschließen, den gleichen Funktionswert und die gleiche Steigung haben.[br][br]Für die Funktion [math]f[/math] gilt:[br][math]f(x)=a\cdot x^3+b\cdot x^2+c\cdot x+d[/math][br][math]x[/math], [math]f(x)[/math] … Koordinaten in [math]m[/math][br][br]Die Koeffizienten [math]a[/math], [math]b[/math], [math]c[/math] und [math]d[/math] können mithilfe eines linearen Gleichungssystems berechnet werden. Der Ansatz für zwei der benötigten Gleichungen lautet:[br][math]27\cdot a+9\cdot b+3\cdot c+d=\underscore\underscore\underscore[/math][br][math]27\cdot a+6\cdot b+c=\underscore\underscore\underscore[/math][br][br][br][b][size=150][br]1) Vervollständigen Sie mithilfe der obigen Abbildung die beiden Gleichungen, indem Sie jeweils die fehlende Zahl in das dafür vorgesehene Kästchen schreiben.[/size][/b]
[b][size=150]2) Lesen Sie aus der obigen Abbildung den Wert des Koeffizienten [math]d[/math] ab.[/size][/b]
Der Umsatz des Weltmarktführers im Seilbahnbau betrug im Geschäftsjahr 2015/16 rund [math]834[/math] Millionen Euro und lag somit um [math]5,04\%[/math] über dem Umsatz im Geschäftsjahr 2014/15.[br][br][br][br][b][size=150]1) Berechnen Sie den Umsatz im Geschäftsjahr 2014/15 in Millionen Euro.[/size][/b]