High School

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

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

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

Answer :

To solve this question, we need to convert a measurement from yards to feet. We're given the function [tex]\( f(x) = 3x \)[/tex], which takes a measurement in yards (as input) and converts it to feet (as output) by multiplying the input by 3.

Let's go through the steps:

1. Identify the Input: We need to find the output when the input yard measurement is 12.2.

2. Use the Function: The function to convert yards to feet is [tex]\( f(x) = 3x \)[/tex].
- Substitute [tex]\( x = 12.2 \)[/tex] into the function:
[tex]\[ f(12.2) = 3 \times 12.2 \][/tex]

3. Perform the Calculation:
- Multiply 12.2 by 3:
[tex]\[ 3 \times 12.2 = 36.6 \][/tex]

4. Conclusion: The function returns 36.6 when the input is 12.2 yards.

So, the number the function returns is [tex]\( \boxed{36.6} \)[/tex].

Therefore, the correct answer is D. 36.6.

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