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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]

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

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

A. 36.2
B. 14.2
C. 36.6
D. 15.2

To determine the number of feet equivalent to 12.2 yards, we use the function [tex]$ f(x) = 3x $[/tex]. This function multiplies the number of yards by 3 to convert it to feet.

Here’s how you can calculate it step by step:

1. Identify the function: The function [tex]$ f(x) = 3x $[/tex] is used to convert yards to feet. The input [tex]$ x $[/tex] represents the number of yards.

2. Plug in the input value: You need to find the output when the input is 12.2 yards.

3. Perform the multiplication: Multiply 12.2 yards by 3 to convert it to feet:

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

4. Calculate the result:

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

Therefore, when the input is 12.2 yards, the function returns an output of 36.6 feet.

So, the correct answer is C. 36.6.