Choose the One Alternative That Best Completes the Statement or Answers

question 112

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-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 $y = a x ^ { 2 } + b x + c$

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

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Definitions:

Positive Behaviors

Actions or conduct that is benevolent, constructive, and supportive.

Optimism

A mental attitude characterized by hope and confidence in success and a positive future.

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is the belief in one's own ability to succeed in specific situations or accomplish a task, which can play a significant role in how one approaches goals, tasks, and challenges.

Academic Performance

Refers to the level of achievement or competence of an individual in educational activities.