9.)Which hill described in the table is the steepest? Explain.'
(Table)
Street Horizontal Distance (ft) Vertical Rise
Dixie Hill 60 20
Bell Hill 60 40
Liberty Hill 60 30
A.)Bel Hill; it rises 2/3 ft for every 1 food 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.
the slopes are
Dixie: 20/60 = 1/3
Bell: 40/60 = 2/3
Liberty: 30/60 = 1/2
Bell is the steepest. Choice (A)
I believe Steve is considered a math tutor at this point, and he has some really helpful explanations in multiple of his answers. I would recommend reading over his explanation to this topic in particular to point you in the right direction.
ty steve
is he right?
thank you steve, your a great help! :)
To determine which hill is the steepest, we need to compare their vertical rise per horizontal distance.
Let's calculate the steepness of each hill by finding their vertical rise ratio.
For Dixie Hill, it rises 1 foot for every 3 feet of horizontal travel. So the steepness ratio would be 1/3.
For Bell Hill, it rises 2/3 feet for every 1 foot of horizontal travel. To compare it with Dixie Hill, we need to find the reciprocal of this ratio, which is 3/2.
For Liberty Hill, it rises 2 feet for every 1 foot of horizontal travel. So the steepness ratio is 2/1.
Comparing the steepness ratios, we find that the hill with the steepest ratio is Bell Hill, which has a steepness ratio of 3/2.
Therefore, the correct answer is C.) Bell Hill; it rises 3 feet for every 2 feet of horizontal travel.