Thank you for visiting 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. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

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).

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

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

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

Answer :

To solve this question, we need to convert a measurement in yards to feet. We know that:

1 yard = 3 feet

The function [tex]\( f(x) \)[/tex] does this conversion for us. Specifically, [tex]\( f(x) \)[/tex] takes a measurement in yards (as input) and returns the measurement in feet (as output). The function is defined as:

[tex]\[ f(x) = 3x \][/tex]

Given the input of 12.2 yards, we need to find the output in feet using the function [tex]\( f(x) = 3x \)[/tex].

Step-by-Step Solution:

1. Identify the input value: [tex]\( x = 12.2 \)[/tex] yards.

2. Substitute [tex]\( x = 12.2 \)[/tex] into the function [tex]\( f(x) = 3x \)[/tex]:

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

3. Perform the multiplication to convert yards to feet:

[tex]\[ 3 \times 12.2 = 36.6 \][/tex]

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

Therefore, the correct answer is:

B. 36.6

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