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

Street Horizontal
Distance (ft) Vertical Rise
of Street (ft)
Dixie Hill 80 40
Bell Hill 80 20
Liberty Hill 80 60
A. Bell Hill; it rises 1 foot for every 4 feet of horizontal travel.
B. Dixie Hill; it rises 2 feet for every 1 foot of horizontal travel.
C. Liberty Hill; it rises 4 feet for every 3 feet of horizontal travel.
D. Liberty Hill; it rises three-fourths foot for every 1 foot of horizontal travel.

1 answer

The steepest hill is Liberty Hill, as it rises 4 feet for every 3 feet of horizontal travel, which is a slope of approximately 1.33. In comparison, Dixie Hill rises 2 feet for every 1 foot of horizontal travel, which is a slope of 2, and Bell Hill rises 1 foot for every 4 feet of horizontal travel, which is a slope of 0.25. A higher slope value indicates a steeper slope.
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