Question

Ronald walks from home to Taco Bell to eat everyday. It takes him 30 minutes to walk the 2 mile distance. A) write a function for Ronald’s wall. Let x be the number of minutes he walks.
B) what should the domain of the function be?

Answer 1

A) We know that 

$d=vt$

where d$y= \frac{1}{15}x$= distance,
v = velocity,
t = time

In this case, d = 2 mi., t = 30 min. So we get

$2=30v$

Dividing both sides by 30, we get

$v= \frac{2}{30}= \frac{1}{15}$

Thus a function for his walk would be 

$y= \frac{1}{15} x$
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].