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

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

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

Answer :

To solve this problem, we need to use the function [tex]\( f(x) = 3x \)[/tex] to convert a measurement from yards to feet. This function multiplies a given number of yards by 3 to return the equivalent measurement in feet, since one yard is equal to three feet.

The task is to find the output when the input is 12.2 yards. Here’s how we can do it step-by-step:

1. Input Value: The input measurement is 12.2 yards.

2. Apply the Function: Use the function [tex]\( f(x) = 3x \)[/tex] with [tex]\( x = 12.2 \)[/tex].

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

4. Calculate the Result: Perform the multiplication:
[tex]\[
3 \times 12.2 = 36.6
\][/tex]

Therefore, the function will return 36.6 feet when the input is 12.2 yards.

The correct answer is C. 36.6.

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