Determine Whether the Variation Model Is of the Form $y = k x$

question 36

Multiple Choice

Determine whether the variation model is of the form $y = k x$ or $y = \frac { k } { x }$ and find k.Then write a model that relates y and x. $$\begin{array} { | c | c | c | c | c | c | } \hline x & 9 & 18 & 27 & 36 & 45 \\\hline y & 2 & 4 & 6 & 8 & 10 \\\hline\end{array}$$

• A) \(y = \frac { 2 } { 9 } x\)
• B) \(y = \frac { 9 } { x }\)
• C) \(y = \frac { 2 } { 9 x }\)
• D) \(y = \frac { 9 } { 2 x }\)
• E) \(y = \frac { 9 } { 2 } x\)

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Definitions:

Standard Deviation

An indicator of the range or spread of values in a dataset, showing how much they diverge from the average value.

Forging Process

A manufacturing procedure where metal is shaped by localized compressive forces, often through hammering or pressing.

Lower Control Limit

The lowest value on a control chart that signals the process variation if the data falls below it.

Compressive Strength

Compressive strength is a measure of the ability of a material to withstand loads tending to reduce size, typically expressed in pounds per square inch (psi) or mega pascals (MPa).