Write the Word or Phrase That Best Completes Each Statement $\$ 25$

question 131

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-To remodel a bathroom, a contractor charges $\$ 25$ per hour plus material costs, which amount to $\$ 3,775$ . Therefore, the total cost to remodel the bathroom is given by $f ( x ) = 25 x + 3,775$ where $x$ is the number of hou the contractor works. Find a formula for $f ^ { - 1 } ( x )$ . What does $f ^ { - 1 } ( x )$ compute?

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 25 } - 151\); This computes the total cost if the contractor works \(x\) hours.
• B) \(f ^ { - 1 } ( x ) = \frac { x } { 25 } - 151\); This computes the number of hours worked if the total cost is \(x\) dollars.
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 25 } - 3,775\); This computes the total cost if the contractor works \(x\) hours.
• D) \(f ^ { - 1 } ( x ) = \frac { x } { 25 } - 3,775\); This computes the number of hours worked if the total cost is \(x\) dollars.

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Definitions:

Equilibrium Points

The state in a market where supply equals demand, and there is no incentive for price or quantity to change.

Equilibrium Price

The market price at which the quantity of goods supplied is equal to the quantity of goods demanded, leading to market equilibrium.

Supply and Demand

The basic economic principle where the quantity of goods supplied equals the quantity of goods demanded at a specific price point.

Computer Production

The process of manufacturing computers, encompassing assembly of components to the creation of software.