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

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

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

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

Answer :

To determine the number of feet equivalent to 12.2 yards, we use the function [tex]\( f(x) = 3x \)[/tex]. This function multiplies the number of yards by 3 to convert it to feet.

Here’s how you can calculate it step by step:

1. Identify the function: The function [tex]\( f(x) = 3x \)[/tex] is used to convert yards to feet. The input [tex]\( x \)[/tex] represents the number of yards.

2. Plug in the input value: You need to find the output when the input is 12.2 yards.

3. Perform the multiplication: Multiply 12.2 yards by 3 to convert it to feet:

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

4. Calculate the result:

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

Therefore, when the input is 12.2 yards, the function returns an output of 36.6 feet.

So, the correct answer is C. 36.6.

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Rewritten by : Barada