Roads Are Often Designed with Parabolic Surfaces to Allow Rain $a = 44$

question 47

Multiple Choice

Roads are often designed with parabolic surfaces to allow rain to drain off.A particular road that is 44 feet wide is 0.4 foot higher in the center than it is on the sides (see figure) .​ ​ where $a = 44$ ft, $b = 0.4 \mathrm { ft }$ ​
Find an equation of the parabola that models the road surface.(Assume that the origin is at the center of the road. )
​

• A) \(x ^ { 2 } = - 1210 y \text { or } y = - \frac { 1 } { 1210 } x ^ { 2 }\)
• B) \(y ^ { 2 } = - 1210 x \text { or } x = - \frac { 1 } { 1210 } y ^ { 2 }\)
• C) \(x ^ { 2 } = 1210 y \text { or } y = \frac { 1 } { 1210 } x ^ { 2 }\)
• D) \(y ^ { 2 } = 1210 \mathrm { x } \text { or } x = \frac { 1 } { 1210 } y ^ { 2 }\)
• E) \(x ^ { 2 } = 44 y \text { or } y = \frac { 1 } { 44 } x ^ { 2 }\)

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Definitions:

Opportunity Cost

The evasion of possible rewards from diverse options by committing to one alternative.

Oranges

Citrus fruits known for their juicy and sweet flavor, often consumed directly or used in various culinary dishes and drinks.

Peaches

A type of fruit known for its sweet flavor and fuzzy skin that grows on trees in temperate regions.

Opportunity Cost

The price of foregoing the next most desirable option when a decision is made.