Answer :
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].
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].
