High School

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).

\[ f(x) = 3x \]

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

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

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

Answer :

To solve the problem, follow these steps:

1. Identify the function:
The function [tex]\( f(x) \)[/tex] converts yards to feet. It's given by the formula:
[tex]\[
f(x) = 3x
\][/tex]
This means that for every yard, you multiply by 3 to get the equivalent length in feet.

2. Determine the input value:
The input value provided is [tex]\( x = 12.2 \)[/tex] yards.

3. Apply the input to the function:
Substitute [tex]\( x = 12.2 \)[/tex] into the function [tex]\( f(x) = 3x \)[/tex]:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]

4. Perform the multiplication:
Now, multiply 3 by 12.2 to find the number of feet:
[tex]\[
3 \times 12.2 = 36.6
\][/tex]

5. Select the correct answer:
The result of the function when the input is 12.2 yards is 36.6 feet.

Therefore, the correct answer is:
[tex]\[
\text{C. } 36.6
\][/tex]

Other Questions