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

question 131

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:

Normal Curve

Curve resulting from the plot of values with a normal distribution. It is often called a bell curve because of its shape.

Normal Curve

A bell-shaped curve that represents the distribution of scores or variables where most measurements are concentrated around the mean in a symmetric way.

Normal Distribution

Symmetrical distribution of values with the majority of scores “peaking” in the middle.

Inferential Statistics

Statistics that estimate the values for a population from a sample of that population.