Martine’s town is building a volleyball court based on a scale drawing that is 40cm to 80cm and uses the scale 1cm:22.5cm write an equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters

Answer:[tex]y=22.5x[/tex] Step-by-step explanation:we have thatThe scale drawing is [tex]\frac{1}{22.5}\frac{cm}{cm}[/tex]we know thatUsing proportion find out the actual dimensions of the volleyball courtLetx -----> drawing court lengths in cmy ----> court lengths in cmFor x=40 cm [tex]\frac{1}{22.5}\frac{cm}{cm}=\frac{40}{y}\frac{cm}{cm}\\\\y=40*22.5\\\\y=900\ cm[/tex]For x=80 cm [tex]\frac{1}{22.5}\frac{cm}{cm}=\frac{80}{y}\frac{cm}{cm}\\\\y=80*22.5\\\\y=1,800\ cm[/tex]Find the equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters  A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex] For x=40 cm, y=900substitute[tex]k=y/x[/tex] -----> [tex]k=900/40=22.5[/tex] The equation is [tex]y=22.5x[/tex]