College

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

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