The proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters is y = 22.5x
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"write an equation for the proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters"
The drawing court length is given as;
x = 40 cm or 80 cm
drawing scale = 1 cm : 22.5 cm
The corresponding length of the court is calculated as;
when x = 40 cm;
[tex]y = \frac{22.5}{1} \times 40 cm = 900 \ cm[/tex]
when x = 80 cm;
[tex]y = \frac{22.5}{1} \times 80 \ cm = 1,800 \ cm[/tex]
The proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters is calculated as;
[tex]\frac{y}{x} = \frac{900}{40} = \frac{1800}{80} \\\\\frac{y}{x} = 22.5\\\\y = 22.5 x[/tex]
Thus, the proportional relationship between the lengths is y = 22.5x
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