High School

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

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

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

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

Answer :

To solve the problem of converting 12.2 yards into feet using the function [tex]\( f(x) = 3x \)[/tex], follow these steps:

1. Understand the Function: The function [tex]\( f(x) = 3x \)[/tex] is designed to convert a measurement in yards to feet. This is because there are 3 feet in a yard.

2. Identify the Input: The problem specifies an input of 12.2 yards.

3. Apply the Function: Use the function to convert the measurement:
- [tex]\( f(12.2) = 3 \times 12.2 \)[/tex].

4. Perform the Calculation: Multiply 12.2 by 3:
- [tex]\( 3 \times 12.2 = 36.6 \)[/tex].

5. Result: The function will return 36.6 when the input is 12.2 yards.

So, the number the function returns when the input is 12.2 is:

A. 36.6

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Rewritten by : Jeany

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