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}{ccc}
f(x) = 3x \\
\\
\text{Input} & \longrightarrow & \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. 36.2

B. 14.2

C. 15.2

D. 36.6

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].

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