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

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

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

Answer :

To solve this problem, we're using the function [tex]\( f(x) = 3x \)[/tex], which converts a measurement from yards to feet. The variable [tex]\( x \)[/tex] represents the number of yards, and since we know that 1 yard equals 3 feet, the function multiplies the yards by 3 to get the feet.

Here are the steps to find out what the function will return if the input is 12.2:

1. Identify the Conversion: Remember that 1 yard equals 3 feet. This means for every yard, you multiply by 3 to get the equivalent in feet.

2. Apply the Conversion to 12.2 Yards: Since we have 12.2 yards as the input, we need to calculate how many feet this is. We do this by multiplying 12.2 by 3.

[tex]\[
\text{Feet} = 12.2 \, \text{yards} \times 3 \, \text{feet/yard}
\][/tex]

3. Calculate the Result:

[tex]\[
\text{Feet} = 12.2 \times 3 = 36.6
\][/tex]

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

D. 36.6

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Rewritten by : Jeany