College

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]

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

What number will the function return if the input is 12.2?

A. 15.2
B. 36.2
C. 36.6

Answer :

To convert a measurement from yards to feet, you can use the conversion factor that 1 yard is equal to 3 feet. The function [tex]\( f(x) \)[/tex] is defined as [tex]\( f(x) = 3x \)[/tex], where [tex]\( x \)[/tex] represents the number of yards.

Here is a step-by-step solution to find out what the function returns when the input is 12.2 yards:

1. Understand the relationship: We have the function [tex]\( f(x) = 3x \)[/tex]. This equation tells us that for every yard, we multiply by 3 to get the equivalent length in feet.

2. Plug in the given value: We want to find [tex]\( f(12.2) \)[/tex], which means substituting 12.2 into the function:

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

3. Perform the multiplication: Multiply 12.2 by 3 to find the equivalent number of feet.

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

4. Conclude the result: The number will the function return if the input is 12.2 yards is 36.6 feet.

Therefore, the correct answer is C. 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