Question
A power station is on one side of a river that is 3/4 mile wide, and a factory is 8 miles downstream on the other side of the river. It costs $24 per foot to run power lines over land and $30 per foot to run them under water.(1 mile = 5280 feet)
Write the total cost C to run power lines in term of x?
P.S. the diagram that went along with this had a ______ that represented 8-x and a slanted line that represented x "/"
Write the total cost C to run power lines in term of x?
P.S. the diagram that went along with this had a ______ that represented 8-x and a slanted line that represented x "/"
Answers
Consider the point on shore that is closest to the station.
I can't tell from your explanation, but I will say that x is the distance from there to where the line comes ashore. That means 8-x is the rest of the way to the factory.
So, using the Pythagorean Theorem, the distance from the power station to where the line comes ashore is
d^2 = x^2 + (3/4)^2
So, the cost is
30d + 24(8-x)
= 30√(.75^2+x^2) + 24(8-x)
If I got x and 8-x mixed up, I'm sure you can make the fix...
I can't tell from your explanation, but I will say that x is the distance from there to where the line comes ashore. That means 8-x is the rest of the way to the factory.
So, using the Pythagorean Theorem, the distance from the power station to where the line comes ashore is
d^2 = x^2 + (3/4)^2
So, the cost is
30d + 24(8-x)
= 30√(.75^2+x^2) + 24(8-x)
If I got x and 8-x mixed up, I'm sure you can make the fix...
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