a) We know that
[tex]d=vt[/tex]
where d[tex]y= \frac{1}{15}x [/tex]= distance,
v = velocity,
t = time
In this case, d = 2 mi., t = 30 min. So we get
[tex]2=30v[/tex]
Dividing both sides by 30, we get
[tex]v= \frac{2}{30}= \frac{1}{15} [/tex]
Thus a function for his walk would be
[tex]y= \frac{1}{15} x[/tex]
where y = distance and x = number of minutes he walks.
b) Domain of a function is a set of x-values on which the function defined. In this case, the number of minutes is 30 at maximum. So the domain of the function is [0, 30].
