Write the Word or Phrase That Best Completes Each Statement

question 227

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The accompanying tables represent a function f that converts seconds to hours and a function g that converts hours to days. $\begin{array}{r|rrrrr}\mathrm{x} & 86,400 & 172,800 & 259,200 & 345,600 & 432,000 \\\hline \mathrm{f}(\mathrm{x}) & 24 & 48 & 72 & 96 & 120\end{array}$

$\begin{array}{r|rrrrr}\mathrm{x} & 24 & 48 & 72 & 96 & 120 \\\hline \mathrm{g}(\mathrm{x}) & 1 & 2 & 3 & 4 & 5\end{array}$

Express $\left( \mathrm { f } ^ { - 1 } \mathrm { gg } ^ { - 1 } \right) ( \mathrm { x } )$ symbolically.

• A) \(\left( f ^ { - 1 } g ^ { - 1 } \right) ( x ) = \frac { x } { 86,400 }\)
• B) \(\left( f ^ { - 1 } g ^ { - 1 } \right) ( x ) = \frac { x ^ { 2 } } { 86,400 }\)
• C) \(\left( f ^ { - 1 } g ^ { - 1 } \right) ( x ) = 86,400 x\)
• D) \(\left( \mathrm { f } ^ { - 1 } \mathrm { gg } ^ { - 1 } \right) ( \mathrm { x } ) = 86,400 \mathrm { x } ^ { 2 }\)

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Definitions:

Long-Run Average Usage

The average amount of a resource used over a prolonged period, reflecting consistent consumption patterns.

Dual Cost Allocation

An accounting method that assigns costs to two or more entities or projects, based on a predetermined formula or basis of apportionment.

Variable Costs

Costs that vary directly with the level of production or service delivery, such as materials and labor.

Fixed Costs

Expenses that do not change with the level of production or sales over a certain period, such as rent and salaries.