Answer:
[tex]\displaystyle m = \frac{1}{5}\cdot t[/tex]
Step-by-step explanation:
Proportional Model
The number of miles m that Lexus can skateboard in t minutes can be modeled by:
m = kt
It's given that Lexus skateboard from his house to school for a distance of m=4 miles in t=20 minutes.
Substituting:
4 = k.20
Dividing by 20
[tex]k=\frac{4}{20}[/tex]
Simplifying:
[tex]k=\frac{1}{5}[/tex]
This produces the model
[tex]\displaystyle m = \frac{1}{5}\cdot t[/tex]
