Answer:
We know that Kevin moved at a constant speed, so his movement can be model by:
[tex]d=st[/tex]
Where [tex]d[/tex] is distance, [tex]s[/tex] is speed and [tex]t[/tex] is time.
So, we can find the speed first, to then find the expression of the distance at any time:
[tex]s=\frac{d}{t}=\frac{\frac{3}{4}mi}{12min}\\s=\frac{3}{48}mi/min\\s=\frac{1mi}{16min}[/tex]
The ratio of his movement is 1 miles each 16 minutes.
Then, the distance at any minute would be:
[tex]d=\frac{1}{16}t[/tex]
This expression model the entire movement of Kevin, because it gives the distance he traveled at any minute.
For example, the first minute, Kevin covered a distance of:
[tex]d=\frac{1}{16}(1)=0.063 miles[/tex]
So, we could say that he travels 0.063 miles per minute.
