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Lexus skateboards from his house to school 4 miles away. It takes him 20 minutes.
Assume that Lexus skateboards at a constant rate.
Part A
Write an equation to represent the number of miles, m, that Lexus can skateboard in t minutes.

Sagot :

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]

I used the equation y=4x+20.