Which hill described in the table is the steepest? Explain.
Street|Horizontal distance|vertical rise
Dixie |80 |40
hill |
Bell |80 |20
hill | |
Liberty|80 |60
hill | |
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 3/4 foot for every 1 foot of horizontal travel.
This is like the last question, it doesnt count as any points, i just need to know how to do it for practice. @Steve, can you help me again?
40/80 = .5
20/80 = .25
60/80 = .75 so steepest 3/4 D
D is the correct answer!
Sure! I'd be happy to help again. To determine which hill is the steepest, we need to compare the vertical rise to the horizontal distance for each hill. Let's go through the options one by one:
A) Bell Hill: It rises 1 foot for every 4 feet of horizontal travel. This means that the ratio of vertical rise to horizontal distance is 1:4.
B) Dixie Hill: It rises 2 feet for every 1 foot of horizontal travel. The ratio of vertical rise to horizontal distance is 2:1.
C) Liberty Hill: It rises 4 feet for every 3 feet of horizontal travel. The ratio of vertical rise to horizontal distance is 4:3.
D) Liberty Hill: It rises 3/4 foot for every 1 foot of horizontal travel. This can be simplified to a ratio of 3:4.
To compare the ratios, we can convert them to the same units. Let's convert them to inches.
A) Bell Hill: 1 foot = 12 inches, 4 feet = 4 * 12 = 48 inches. The ratio is 12:48.
B) Dixie Hill: The ratio remains the same as 2:1.
C) Liberty Hill: 4 feet = 4 * 12 = 48 inches, 3 feet = 3 * 12 = 36 inches. The ratio is 48:36.
D) Liberty Hill: 3/4 foot = (3/4) * 12 = 9 inches, 1 foot = 12 inches. The ratio is 9:12.
Now we can compare the ratios:
A) 12:48 = 1:4
B) 2:1
C) 48:36 = 4:3
D) 9:12 = 3:4
From the ratios, we can see that the steepest hill is Dixie Hill with a ratio of 2:1. It rises 2 feet for every 1 foot of horizontal travel. Therefore, option B, Dixie Hill, is the correct answer.
To determine which hill is the steepest, we need to compare the ratios of vertical rise to horizontal distance for each hill.
For hill A (Bell Hill), the ratio of vertical rise to horizontal distance is 20/80 = 1/4.
For hill B (Dixie Hill), the ratio of vertical rise to horizontal distance is 40/80 = 1/2.
For hill C (Liberty Hill), the ratio of vertical rise to horizontal distance is 60/80 = 3/4.
For hill D (also Liberty Hill), the ratio of vertical rise to horizontal distance is 3/4.
To compare the ratios, we need to find the fraction that represents the steepest incline. The smaller the fraction, the steeper the hill.
Comparing the fractions, we can see that B) Dixie Hill has the steepest incline with a ratio of 1/2. This means that for every 1 foot of horizontal distance, Dixie Hill rises 2 feet. Therefore, B) Dixie Hill is the steepest hill described in the table.