Riesenpizza (2_085)

Grundkompetenz: AG 2.1, AN 3.3, WS 1.1, WS 1.2
In den USA wird die Größe einer Pizza durch ihren Durchmesser (in Inches) angegeben.[br]Im Folgenden werden Pizzen immer als kreisrund angenommen.
a)
Bei [math]30[/math]-Inch-Pizzen verschiedener Lieferanten wurde der tatsächliche Durchmesser bestimmt. Die Messergebnisse sind im folgenden Boxplot zusammengefasst:[br][img]data:image/png;base64,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[/img][br][br][br][br][b][size=150]1) Lesen Sie die Spannweite ab.[/size][/b]
Irrtümlich wurde beim Erfassen der Messwerte bei einer Pizza statt eines Durchmessers von [math]28,5[/math] Inch ein Durchmesser von [math]29[/math] Inch notiert.[br][br][br][b][size=150][br]2) Erklären Sie, warum dieser Fehler den Boxplot nicht beeinflusst.[/size][/b]
b)
[b][size=150]1) Zeigen Sie allgemein, dass der Flächeninhalt einer (kreisrunden) Pizza vervierfacht wird, wenn ihr Durchmesser verdoppelt wird.[/size][/b]
c)
Für eine bestimmte Pizzasorte wird der Preis pro Flächeneinheit in Abhängigkeit vom Durchmesser modellhaft durch folgende quadratische Funktion [math]P[/math] beschrieben:[br][br][math]P(d)=0,0003\cdot d^2-0,015\cdot d+0,2619[/math] mit [math]8\le d\le30[/math][br][br][math]d[/math] ... Durchmesser der Pizza in Inches[br][math]P(d)[/math] ... Preis pro Flächeneinheit einer Pizza mit Durchmesser [math]d[/math] in US-Dollar[br][br][br][br][b][size=150]1) Ermitteln Sie, für welchen Durchmesser der Preis pro Flächeneinheit am geringsten ist.[/size][/b][br]
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Information: Riesenpizza (2_085)