Question

You are 300 miles from home and you are driving toward home at an average of 55mph. Write an equation to represent the situation and find the domain and range of the function.

Answer 1

Both time and distance start at zero. The distance traveled goes from 0 to 300

The time goes from 300/55 = 5.4545

The direct constant of proportionality = 55

The equation is set up so that d = r * t

So the domain is t and it goes from 0 ≤ t ≤ 5.4545

The range is the distance. It goes from 0 ≤ d ≤ 300

See the graph below.