Respuesta :

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

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