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 12.2?

A. 15.2
B. 36.2
C. 36.6

Answer :

To solve this problem, we need to use the function [tex]\( f(x) = 3x \)[/tex], which converts a measurement from yards to feet. Here’s how we can calculate the output when the input is 12.2 yards:

1. Understand the relationship:
- 1 yard is equal to 3 feet.
- Therefore, the function [tex]\( f(x) = 3x \)[/tex] takes a number in yards (x) and multiplies it by 3 to convert it into feet.

2. Apply the function to the input:
- Substitute the given input, 12.2 yards, into the function [tex]\( f(x) \)[/tex].
- Calculate [tex]\( f(12.2) = 3 \times 12.2 \)[/tex].

3. Perform the multiplication:
- Multiply 12.2 by 3 to convert it into feet.
- Calculation: [tex]\( 3 \times 12.2 = 36.6 \)[/tex].

4. Result:
- Thus, when the input is 12.2 yards, the function returns 36.6 feet.

Therefore, the correct answer is C. 36.6.

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