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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]f(x) = 3x[/tex]

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

What number will the function return if the input is 12.2?

A. 15.2
B. 36.2
C. 36.6

To convert a measurement from yards to feet, you can use the conversion factor that 1 yard is equal to 3 feet. The function [tex]\( f(x) \)[/tex] is defined as [tex]\( f(x) = 3x \)[/tex], where [tex]\( x \)[/tex] represents the number of yards.

Here is a step-by-step solution to find out what the function returns when the input is 12.2 yards:

1. Understand the relationship: We have the function [tex]\( f(x) = 3x \)[/tex]. This equation tells us that for every yard, we multiply by 3 to get the equivalent length in feet.

2. Plug in the given value: We want to find [tex]\( f(12.2) \)[/tex], which means substituting 12.2 into the function:

[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]

3. Perform the multiplication: Multiply 12.2 by 3 to find the equivalent number of feet.

[tex]\[
3 \times 12.2 = 36.6
\][/tex]

4. Conclude the result: The number will the function return if the input is 12.2 yards is 36.6 feet.

Therefore, the correct answer is C. 36.6.