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).

\[ f(x) = 3x \]

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

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

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

Answer :

To solve the problem, follow these steps:

1. Identify the function:
The function [tex]\( f(x) \)[/tex] converts yards to feet. It's given by the formula:
[tex]\[
f(x) = 3x
\][/tex]
This means that for every yard, you multiply by 3 to get the equivalent length in feet.

2. Determine the input value:
The input value provided is [tex]\( x = 12.2 \)[/tex] yards.

3. Apply the input to the function:
Substitute [tex]\( x = 12.2 \)[/tex] into the function [tex]\( f(x) = 3x \)[/tex]:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]

4. Perform the multiplication:
Now, multiply 3 by 12.2 to find the number of feet:
[tex]\[
3 \times 12.2 = 36.6
\][/tex]

5. Select the correct answer:
The result of the function when the input is 12.2 yards is 36.6 feet.

Therefore, the correct answer is:
[tex]\[
\text{C. } 36.6
\][/tex]

Thank you for reading the article 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. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany