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

---

Definitions:

Economic Profits

Profits calculated by subtracting both explicit and implicit costs from total revenues, representing the additional income earned over and above the opportunity costs.

Competitive Market

A market structure characterized by a large number of buyers and sellers, free entry and exit, and a product for which each seller offers an identical product.

Market Price

Market price is the current price at which an asset or service can be bought or sold in a given market.

Marginal Cost Curve

A graphical representation showing how the cost to produce one additional unit changes as more units are produced.