Solve the Problem $y = \frac { 15 } { 2 } x ^ { 2 } - \frac { 25 } { 2 } x + \frac { 325 } { 4 }$

question 89

Multiple Choice

Solve the problem.
-A company has sales (measured in millions of dollars) of 50, 60, and 75 during the first three consecutive years.Find a quadratic function that fits these data, and use the result to predict the sales during the fourth year. Assume that the quadratic function is of the form y = ax² + bx + c

• A) \(y = \frac { 15 } { 2 } x ^ { 2 } - \frac { 25 } { 2 } x + \frac { 325 } { 4 }\); sales during the fourth year \(= \$ 151.25\) million
• B) \(y = 5 x ^ { 2 } + 5 x + 40\); sales during the fourth year \(= \$ 180\) million
• C) \(y = - 5 x ^ { 2 } + 40 x + 15\); sales during the fourth year \(= \$ 95\) million
• D) \(y = \frac { 5 } { 2 } x ^ { 2 } + \frac { 5 } { 2 } x + 45\); sales during the fourth year \(= \$ 95\) million

Apply the concept of argument mapping to visualize reasoning processes and decision-making paths.

Distinguish between different types of statements (e.g., claims, reasons, conclusions) and their roles in arguments.

Understand the significance of context and purpose in analyzing arguments and decisions.

Differentiate between explicit and implicit premises in an argument.

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Definitions:

One Third

A fraction representing a division of a whole into three equal parts, indicating that one part is being considered out of the three.

One Fourth

A fraction representing one part of four equal parts of a whole, often written as 1/4.

One Eighth

A fraction representing one part of eight equal parts of a whole.

Genetic Counseling

A process that involves advising individuals and families about the genetic risks, conditions, or diseases they may face and the implications for their health.