High School

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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]

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

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

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

Answer :

To solve the problem of converting 12.2 yards into feet using the function [tex]\( f(x) = 3x \)[/tex], follow these steps:

1. Identify the relationship: A yard is equal to 3 feet. Therefore, for every yard measured, you multiply by 3 to convert it into feet. This relationship is represented by the function [tex]\( f(x) = 3x \)[/tex], where [tex]\( x \)[/tex] is the measurement in yards.

2. Input the given value: In this case, the measurement in yards is 12.2.

3. Calculate the output: Use the function [tex]\( f(x) = 3 \times 12.2 \)[/tex] to find the number of feet.

4. Perform the multiplication: When you multiply 12.2 by 3, you get approximately 36.6.

Therefore, when the input is 12.2 yards, the function returns approximately 36.6 feet.

The correct answer is:
C. 36.6

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