Answer:
[tex]y=22.5x[/tex]
Step-by-step explanation:
we have that
The scale drawing is
[tex]\frac{1}{22.5}\frac{cm}{cm}[/tex]
we know that
Using proportion find out the actual dimensions of the volleyball court
Let
x -----> drawing court lengths in cm
y ----> court lengths in cm
For 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=900
substitute
[tex]k=y/x[/tex] -----> [tex]k=900/40=22.5[/tex]
The equation is
[tex]y=22.5x[/tex]
