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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}{clc}

& f(x) = 3x \\

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

Answer :

To solve the problem, we need to use the function [tex]\( f(x) = 3x \)[/tex], which converts measurements in yards to feet. For each yard, there are 3 feet.

We are asked to find the number of feet for an input of 12.2 yards. Here's how you can determine the answer step by step:

1. Identify the conversion factor: Since 1 yard equals 3 feet, the function to convert yards to feet is [tex]\( f(x) = 3x \)[/tex].

2. Plug in the value: Substitute the input value of 12.2 yards into the function.
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]

3. Perform the multiplication: Calculate the result by multiplying 3 by 12.2.
[tex]\[
f(12.2) = 36.6
\][/tex]

So, the function returns 36.6 feet when the input is 12.2 yards. Therefore, the correct answer is:

A. 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