Choose the One Alternative That Best Completes the Statement or Answers

question 45

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-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 hours the contractor works. Find a formula for $\mathrm { f } ^ { - 1 } ( \mathrm { x } )$ . What does $\mathrm { f } ^ { - 1 } ( \mathrm { x } )$ 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) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 25 } - 3,775\); This computes the number of hours worked if the total cost is \(x\) dollars.

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