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) \(A ( x ) = x ^ { 2 } + 800 x ; \{ x \mid 0 < x < 800 \}\)

---

Definitions:

Carcinogens

Substances or exposures that are known to increase the risk of cancer by altering cellular metabolism or damaging DNA directly in cells.

Prokaryotes

Microorganisms that lack a distinct nucleus and other organelles enclosed within membranes, including bacteria and archaea.

Eukaryotes

Organisms whose cells contain a nucleus and other organelles enclosed within membranes, distinct from prokaryotes.

Lymphocytes

A type of white blood cell that is part of the immune system, helping the body to fight off infections.