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).

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

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

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

Answer :

To solve this question, we need to convert a measurement in yards to feet. We know that:

1 yard = 3 feet

The function [tex]\( f(x) \)[/tex] does this conversion for us. Specifically, [tex]\( f(x) \)[/tex] takes a measurement in yards (as input) and returns the measurement in feet (as output). The function is defined as:

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

Given the input of 12.2 yards, we need to find the output in feet using the function [tex]\( f(x) = 3x \)[/tex].

Step-by-Step Solution:

1. Identify the input value: [tex]\( x = 12.2 \)[/tex] yards.

2. Substitute [tex]\( x = 12.2 \)[/tex] into the function [tex]\( f(x) = 3x \)[/tex]:

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

3. Perform the multiplication to convert yards to feet:

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

So, when the input is 12.2 yards, the function returns 36.6 feet.

Therefore, the correct answer is:

B. 36.6

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