Find the Equation of the Tangent Line to the Graph $f ( x ) = \frac { 3 } { x }$

question 14

Multiple Choice

Find the equation of the tangent line to the graph of $f ( x ) = \frac { 3 } { x }$ at the point $\left( 4 , \frac { 3 } { 4 } \right)$ .

• A) \(y = \frac { 3 } { 4 } x + \frac { 3 } { 2 }\)
• B) \(y = - \frac { 3 } { 16 } x + \frac { 3 } { 2 }\)
• C) \(y = - \frac { 3 } { 4 } x + \frac { 3 } { 2 }\)
• D) \(y = \frac { 3 } { 16 } x\)

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Definitions:

Cost-Plus Pricing

An approach to pricing in which the final selling price is set by adding a predetermined markup to the cost of a single unit of the product.

Variable Manufacturing Cost

Refers to costs that vary directly with the level of production output, including materials, labor, and utility costs.

Cost-Plus Pricing

A pricing strategy where the selling price is determined by adding a specific markup to a product's unit cost.

Mark-Up Percentage

A fraction applied to the original purchase price to encompass both overhead expenses and profit.