Bece Model Questions Vol1 2017 Cultural And Creative Arts Question 5

Practice practical question 5 from the 2017 Bece Model Questions Vol1 Cultural And Creative Arts examination. This question covers Colour Theory, Colour Mixing, Linear Data Interpretation .

Bece Model Questions Vol1 2017 Cultural And Creative Arts Practical
Topics: Colour Theory Colour Mixing Linear Data Interpretation
Question 5 BECE_MODEL_QUESTIONS_VOL1 • 2017 • CULTURAL_AND_CREATIVE_ARTS • practical

A student is preparing a paint mixture to obtain a specific shade of green for a school mural. The only primary paints available are red, blue and yellow. The student knows that mixing yellow and blue yields green, but the exact hue depends on the mixing ratio. The target colour, measured with a colour meter, has the following RGB values (on a scale of 0–255): R = 30, G = 180, B = 20. From trial mixes the following data were recorded: - Mix 1: 10 mL yellow + 5 mL blue → colour reading R = 40, G = 150, B = 30. - Mix 2: 8 mL yellow + 8 mL blue → colour reading R = 35, G = 170, B = 25. Assume that the colour reading varies linearly with the volumes of yellow (Y) and blue (B) used and that no paint gives a colour reading of (0,0,0). The student has 200 mL of yellow paint and 150 mL of blue paint available. Answer the following:

Question Parts

( a )
Derive the linear equation that relates the volumes of yellow (Y) and blue (B) to the green component (G) of the colour reading.
( b )
Using the equation from (a), determine the exact volumes of yellow and blue that will give G = 180 while using the smallest total volume of paint. Show all reasoning.
( c )
Check whether the volumes found in (b) are within the available supply. If they are not, suggest an alternative mixture that uses the available paint and gives a colour whose G component is as close as possible to 180. State the predicted RGB reading for the alternative mixture using the linear model.
( d )
Identify two possible sources of error that could affect the accuracy of the colour predictions made from the linear model, and suggest one practical precaution for each source.

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This is Bece Model Questions Vol1 2017 Cultural And Creative Arts Question 5. It is one of the practical questions from the 2017 Bece Model Questions Vol1 Cultural And Creative Arts examination.

The question covers Colour Theory, Colour Mixing, Linear Data Interpretation .

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