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

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Definitions:

Neuronal Plasticity

The capacity of neurons and neural networks in the brain to change their connections and behavior in response to new information, sensory stimulation, development, damage, or dysfunction.

Compensatory Plasticity

The brain's ability to adjust and reorganize its functionalities in response to injury, loss, or developmental issues.

Systemic Complexity

Refers to the intricate and interconnected nature of systems that results in non-linear, emergent behavior stemming from the interaction of its parts.

Focal Seizures

Focal seizures are a form of seizure that originate in just one part of the brain, affecting a specific area of the body or the individual's experience or behavior.