Solve the Problem $x$ Of the Rectangle $A$ ?
A) $\mathrm { A } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 1,600 \mathrm { x } ; \quad \{ \mathrm { x } \mid 0 < \mathrm { x } < 1,600 \}$

question 174

Multiple Choice

Solve the problem.
-A farmer has 1,600 yards of fencing to enclose a rectangular garden. Express the area A of the rectangle as a function of the width $x$ of the rectangle. What is the domain of $A$ ?

• A) \(\mathrm { A } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 1,600 \mathrm { x } ; \quad \{ \mathrm { x } \mid 0 < \mathrm { x } < 1,600 \}\)
• B) \(\mathrm { A } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 800 \mathrm { x } ; \{ \mathrm { x } \mid 0 < \mathrm { x } < 1,600 \}\)
• C) \(\mathrm { A } ( \mathrm { x } ) = - \mathrm { x } ^ { 2 } + 800 \mathrm { x } ; \{ \mathrm { x } \mid 0 < \mathrm { x } < 800 \}\)
• D) \(A ( x ) = x ^ { 2 } + 800 x ; \{ x \mid 0 < x < 800 \}\)

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Definitions:

Operant Behavior

Behavior that is controlled by consequences, including rewards and punishments, following the behavior.

Pavlov

A Russian physiologist best known for his discovery of classical conditioning, where an organism learns to associate a neutral stimulus with a reflexive response.

Frequency

The number of complete wavelengths that pass a point in a given time (for example, per second).

Daily Exercise

Engaging in physical activity on a regular basis to maintain or improve health and fitness.