Answer:
K = 5.5 cm/min
Step-by-step explanation:
Proportionality
If two variables X and Y are proportional, then we can express them as
[tex]Y=K.X[/tex]
where K is the constant of proportionality. If we know an ordered pair (xo,yo), we can compute K as follows
[tex]\displaystyle K=\frac{y_o}{x_o}[/tex]
We have the following data
[tex]X=5 min, Y=27.5 cm[/tex]
[tex]X=12 min, Y=66 cm[/tex]
[tex]X=15 min, Y=82.5 cm[/tex]
The constant K is, for each point:
[tex]\displaystyle K=\frac{27.5}{5}=5.5\ cm/min[/tex]
[tex]\displaystyle K=\frac{66}{12}=5.5\ cm/min[/tex]
[tex]\displaystyle K=\frac{82.5}{15}=5.5\ cm/min[/tex]
The proportionality has been verified
