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= (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= (2)/(30)= (1)/(15)`

Thus a function for his walk would be


`y= (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].