Which hill described in the table is the steepest?
(Table)
Street: Horizontal (ft): Vertical Rise (ft):
Dixie Hill 60 20
Bell Hill 60 40
Liberty Hill 60 30
A. Bell Hill; it rises 2/3 foot for every 1 foot of horizontal travel.
B. Dixie Hill; it rises 1 foot for every 3 feet of horizontal travel.
C. Bell Hill; it rises 3 feet for every 2 feet of horizontal travel.
D. Liberty Hill; it rises 2 feet for every 1 foot of horizontal travel.
I say it's either A or D. Please check.
A is
Which answer was correct?
To determine which hill is the steepest, we need to compare the ratios of vertical rise to horizontal travel for each hill described in the table.
A. Bell Hill: It rises 2/3 foot for every 1 foot of horizontal travel.
B. Dixie Hill: It rises 1 foot for every 3 feet of horizontal travel.
C. Bell Hill: It rises 3 feet for every 2 feet of horizontal travel.
D. Liberty Hill: It rises 2 feet for every 1 foot of horizontal travel.
By comparing the ratios, we can see that:
A. Bell Hill: 2/3 (vertical rise) ÷ 1 (horizontal travel) = 2/3
B. Dixie Hill: 1 (vertical rise) ÷ 3 (horizontal travel) ≈ 1/3
C. Bell Hill: 3 (vertical rise) ÷ 2 (horizontal travel) = 3/2
D. Liberty Hill: 2 (vertical rise) ÷ 1 (horizontal travel) = 2/1 = 2
Thus, the steepest hill is D. Liberty Hill, as it has the highest ratio of vertical rise to horizontal travel.
To determine which hill is the steepest, we need to compare the vertical rise to the horizontal distance for each hill.
For option A, Bell Hill rises 2/3 foot for every 1 foot of horizontal travel.
For option B, Dixie Hill rises 1 foot for every 3 feet of horizontal travel.
For option C, Bell Hill rises 3 feet for every 2 feet of horizontal travel.
For option D, Liberty Hill rises 2 feet for every 1 foot of horizontal travel.
To find out which hill is steeper, we can compare the ratios of the vertical rise to the horizontal distance for each option. The larger the ratio, the steeper the hill.
For option A: 2/3 = approximately 0.67
For option B: 1/3 = approximately 0.33
For option C: 3/2 = 1.5
For option D: 2/1 = 2.0
From the calculations, we can conclude that option D, Liberty Hill, is the steepest hill as it has the highest ratio of vertical rise to horizontal distance, which is 2.0. Therefore, the answer is D.