Solve the Problem $A ( x ) = 43 x ^ { 2 } - x$

question 251

Multiple Choice

Solve the problem.
-Bob wants to fence in a rectangular garden in his yard. He has 82 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

• A) \(A ( x ) = 43 x ^ { 2 } - x\)
• B) \(A ( x ) = 41 x - x ^ { 2 }\)
• C) \(A ( x ) = 40 x - x ^ { 2 }\)
• D) \(A ( x ) = 42 x - x ^ { 2 }\)

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Definitions:

Money Multiplier

The ratio of the change in the total money supply to the change in the monetary base, indicating how an initial deposit can lead to a greater final increase in the total money supply.

Reserve Banking

A banking system in which banks hold a fraction of their deposits as reserves, enabling them to meet withdrawal demands and extend credits.

Create Money

The process by which the central bank of a country (or other monetary authority) increases the money supply, often leading to the production of physical money or the creation of digital currency units.

Reserve Ratio

The fraction of depositors' balances that banks must have on hand as cash, a regulation enforced by central banking authorities.