6. A soup company determines that the volume, in cubic centimetres, of open-topped boxes used to...

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6. A soup company determines that the volume, in cubic centimetres, of open-topped boxes used to package its soup cans is modelled by V(x) = 4x- 220x + 2800x, where x is the height of the box, in centimetres. The graph of this function is shown below. a) Use the graph to state restrictions on the domain of this function. Justify your response. (2 marks) b) Determine the volume when the height of the box is 8 cm. (1 mark) c) What values of x result in a volume of 10 368 cm (2 marks) d) Use the equation to confirm your largest value of x from part c. (1 marks) A G Q 6 / 23 -10000 5000 -5000 E 5 + 160% 4 W A 10 15 20 25 30 $5 40 AG 6. A soup company determines that the volume, in cubic centimetres, of open-topped boxes used to package its soup cans is modelled by V(x) = 4x- 220x + 2800x, where x is the height of the box, in centimetres. The graph of this function is shown below. a) Use the graph to state restrictions on the domain of this function. Justify your response. (2 marks) b) Determine the volume when the height of the box is 8 cm. (1 mark) c) What values of x result in a volume of 10 368 cm (2 marks) d) Use the equation to confirm your largest value of x from part c. (1 marks) A G Q 6 / 23 -10000 5000 -5000 E 5 + 160% 4 W A 10 15 20 25 30 $5 40 AG