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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]

\[
\begin{array}{ll}
\text{Input:} & \text{Output} \\
\text{Yards} & \text{Feet}
\end{array}
\]

\[
\begin{array}{ccc}
1 & \longrightarrow & f(1) = 3 \\
2 & \longrightarrow & f(2) = 6 \\
12.2 & \longrightarrow & f(12.2) = \, ?
\end{array}
\]

What number will the function return if the input is [tex]12.2[/tex]?

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

Answer :

To determine what number the function [tex]\( f(x) \)[/tex] will return if the input is 12.2 yards, we need to understand how the function works. The function [tex]\( f(x) \)[/tex] converts a measurement in yards to feet by using the formula:

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

This formula tells us that for every 1 yard, there are 3 feet.

Now, let's use the function to find the number of feet when the input is 12.2 yards:

1. Identify the input: The input given is 12.2 yards.

2. Apply the formula: Use the function [tex]\( f(x) = 3 \times x \)[/tex] where [tex]\( x = 12.2 \)[/tex].

3. Calculate: Multiply 12.2 by 3.

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

4. Result: The result of this calculation is 36.6.

Therefore, the function will return 36.6 when the input is 12.2 yards.

Based on the given choices, the correct answer is:
A. 36.6

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Rewritten by : Jeany