High School

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).

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

\[
\begin{array}{ll}
\text{Input:} & \text{Output:} \\
\text{Yards} & \text{Feet}
\end{array}
\]

\[
\begin{array}{rlr}
1 & \longrightarrow \quad f(1) = 3 \\
2 & \longrightarrow \quad f(2) = 6 \\
12.2 & \longrightarrow \quad f(12.2) = \, ?
\end{array}
\]

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

A. 36.2
B. 36.6
C. 14.2

Answer :

To solve the problem of converting yards into feet, we need to use the relationship that 1 yard is equal to 3 feet. Therefore, when we are given an input in yards, we can determine the output in feet by multiplying the number of yards by 3.

Let's go through the steps:

1. Understand the Conversion:
- We have a function [tex]\( f(x) = 3x \)[/tex], which means for any given number of yards ([tex]\( x \)[/tex]), the function will return three times that number in feet.

2. Identify the Input:
- The input in this case is 12.2 yards.

3. Apply the Conversion:
- Use the function: [tex]\( f(12.2) = 3 \times 12.2 \)[/tex].

4. Calculate:
- [tex]\( 3 \times 12.2 \)[/tex] equals to 36.6 feet.

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

Given the choices:
- A. 36.2
- B. 36.6
- C. 14.2

The correct answer is B. 36.6. This is the number of feet corresponding to 12.2 yards.

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Rewritten by : Jeany