In a Suspension Bridge, the Shape of the Suspension Cables

question 454

Multiple Choice

In a suspension bridge, the shape of the suspension cables is parabolic.The bridge shown in the figure has towers that are 1000 m apart, and the lowest point of the suspension cables is 200 m below the top of the towers.Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the lowest point of the cable. ​
NOTE: This equation is used to find the length of the cable needed in the construction of the bridge.
​ ​

• A)x ² = 2,500y
• B)y ² = 5,000x
• C)x ² = 1,250y
• D)x ² = 5,000y
• E)x ² = -1,250y

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Definitions:

Price Of Good 2

The amount of money required to purchase one unit of a second specified good or service in a market.

Budget Set

The collection of all possible bundles of goods and services that a consumer can afford with their income at given prices.

Prices Doubled

A situation where the cost of goods, services, or commodities increases to twice their original amount.

Relative Prices

The price of one good or service compared to another, usually considered in terms of opportunity cost.