Solve the Problem $\frac { x ^ { 2 } } { 6 } - \frac { y ^ { 2 } } { 17 } = 1$

question 14

Multiple Choice

Solve the problem.
-A comet follows the hyperbolic path described by $\frac { x ^ { 2 } } { 6 } - \frac { y ^ { 2 } } { 17 } = 1$ , where $x$ and $y$ are in millions of miles. If the sun is the focus of the path, how close to the sun is the vertex of the path?

• A) \(2.3\) million mi
• B) 23 million mi
• C) \(6.3\) million mi
• D) \(2.4\) million mi

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Definitions:

Marginal Social Cost

The comprehensive expense to society for creating another unit of a product or service, encompassing both individual costs and any external factors.

Pollution

The occurrence or release of harmful or toxic materials into the environment.

External Costs

Costs that are not borne by the parties to a transaction but are imposed on others, such as pollution affecting non-participants.

Output

The amount of goods or services produced by a company, industry, or economy in a given period.