Question 1042377: Suppose that you are at the base of a hill and see a sign that reads "Elevation 2500 Feet." The road you are on goes straight up the hill to the top, which is 3 horizontal miles from the base. At the top, you see a sign that reads "Elevation 3100 Feet." What is the growth rate in your elevation with respect to horizontal distance as you drive up the road?
__________ft/mi
Use V for elevation in feet and h for horizontal distance in miles, and find a formula that gives your elevation as a linear function of your horizontal distance from the base of the hill.
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Can someone answer these and show me how to get the correct answer before my exam this week.
I don't honestly understand either of the two parts of this problem.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that you are at the base of a hill and see a sign that reads "Elevation 2500 Feet." The road you are on goes straight up the hill to the top, which is 3 horizontal miles from the base. At the top, you see a sign that reads "Elevation 3100 Feet." What is the growth rate in your elevation with respect to horizontal distance as you drive up the road?
(3100-2500)/3ft/mi = 600/3 = 200 ft/mile
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Use V for elevation in feet and h for horizontal distance in miles, and find a formula that gives your elevation as a linear function of your horizontal distance from the base of the hill.
growth = V/(horizontal dist. from base)
g = V/h
V = (growth rate)(h) ft/miles
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Cheers,
Stan H.
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