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------------------------------------------------ A yard is equal in length to three feet. The function [tex] f(x) [/tex] takes a measurement in yards (as input) and returns a measurement in feet (as output).

[tex]
\begin{array}{ccc}
f(x) = 3x \\
\\
\text{Input} & \longrightarrow & \text{Output} \\
\text{Yards} & \longrightarrow & \text{Feet} \\
1 & \longrightarrow & f(1) = 3 \\
2 & \longrightarrow & f(2) = 6 \\
12.2 & \longrightarrow & f(12.2) = ? \\
\end{array}
[/tex]

What number will the function return if the input is [tex] 12.2 [/tex]?

A. 36.2

B. 14.2

C. 15.2

D. 36.6

To solve the given problem, we need to convert a measurement in yards to feet using the function [tex]$ f(x) = 3x $[/tex]. This function tells us that for any input [tex]$ x $[/tex] in yards, the output [tex]$ f(x) $[/tex] will be [tex]$ 3x $[/tex] in feet. Let's break down the steps:

1. Identify the input value in yards:
- The input provided is [tex]$ 12.2 $[/tex] yards.

2. Apply the function [tex]$ f(x) = 3x $[/tex] to convert yards to feet:
- Substitute [tex]$ x $[/tex] with [tex]$ 12.2 $[/tex] in the function:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]

3. Perform the multiplication to get the output in feet:
- Calculate [tex]$ 3 \times 12.2 $[/tex]:
[tex]\[
3 \times 12.2 = 36.6
\][/tex]

So, when the input is [tex]$ 12.2 $[/tex] yards, the function will return [tex]$ 36.6 $[/tex] feet.

Therefore, the correct answer is [tex]$ \boxed{36.6} $[/tex].