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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}{ccc}

\text{Input: Yards} & \longrightarrow & \text{Output: 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 [tex]12.2[/tex]?

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

Answer :

To solve this problem, we need to convert the measurement provided in yards to the equivalent measurement in feet.

The function we're dealing with is [tex]\( f(x) = 3x \)[/tex], where [tex]\( x \)[/tex] is the input in yards, and the function returns the output in feet. This function simply multiplies the input by 3 because there are 3 feet in a yard.

We're given an input of 12.2 yards and need to find out the equivalent in feet. Here's how you can think about it step-by-step:

1. Understand the Relationship: We know that 1 yard is equal to 3 feet. Hence, the function [tex]\( f(x) = 3x \)[/tex] helps us convert yards to feet.

2. Substitute the Input: Take the given input of 12.2 yards and substitute it into the function. This means we need to compute:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]

3. Perform the Multiplication: Multiply 3 by 12.2:
[tex]\[
3 \times 12.2 = 36.6
\][/tex]

4. Determine the Output: The function [tex]\( f(x) \)[/tex] will return 36.6 feet when the input is 12.2 yards.

Hence, if the input is 12.2, the function will return 36.6. Therefore, the correct answer is:

B. 36.6

Thank you for reading the article 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. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany