Answer
The change in horizontal distance is equal to 3.16 mi
Work Step by Step
Let $f(x)$ be the linear function that gives the value of vertical distance, where $x$ represents the horizontal distance.
$$f(x) = ax = -\frac {6}{100}x$$
Substituting the value:
$$-1000 \space ft = -\frac {6}{100}x$$ $$(-1000 \space ft)(-\frac{100} 6 ) = x$$ $$x = \frac{50000}{3} \space ft$$
- Since $1 \space mi = 5280 \space ft$
$$x = \frac{50000}{3} \space ft \times \frac{1 \space mi}{5280 \space ft} =3.16 \space mi$$
