Question

Which hill described in the table is the steepest? Explain.

Answer 1

Answer:

Liberty Hill

Step-by-step explanation:

It rises the most over the same horizontal distance

Answer 2

Answer:

Liberty Hill. For every 4 feet at a horizontal distance, it rises 3 ft at the vertical rise of the street.

Step-by-step explanation:

Looking at the data, we can trace a parallel to the Cartesian Plane. As the Horizontal Distance would be the x-axis and the Vertical Axis, y-axis. So to determine the steepest hill we need to check the slope.

Like this:

Reference point (0,0)

Dixie Hill

$m=\frac{40-0}{80-0}=\frac{1}{2}$

Bell Hill

$m=\frac{20-0}{80-0} =\frac{20}{80}=\frac{1}{8}$

Liberty Hill

$m=\frac{60-0}{80-0} =\frac{60}{80}=\frac{3}{4}$

The base Liberty Hill makes the largest angle, therefore the steepest hill.

For every 4 feet at a horizontal distance, it rises 3 ft at the vertical rise of the street.