We want to find the distance that Leila can run given that we know her speed and the time that she runs.
The two distance equations are:
D(t) = 36mi + (12mi/h)*t
D(k) = 72mi - (12mi/h)*k
Remember the relation:
Distance = Speed*Time.
Here we know that:
Speed = 12mph = 12 mi/h
First, if you run for "3 more than t hours"
The time is:
time = 3h + t
Where t represents some quantity of hours.
Then the distance will be given by the linear equation:
D(t) = (3h + t)*(12 mi/h) = 36mi + (12mi/h)*t
For the case of "k less than 6 hours" is the same:
time = (6h - k)
D(k) = (12mi/h)*(6h - k) = 72mi - (12mi/h)*k
If you want to learn more, you can read:
https://brainly.com/question/25111097