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]

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

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

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

Answer :

To find out what the function returns when the input is 12.2 yards, we need to use the function [tex]\( f(x) = 3x \)[/tex]. This function converts a measurement in yards to a measurement in feet by multiplying the input value by 3.

Here's how we can find the output:

1. Start with the input value: 12.2 yards.

2. Use the function [tex]\( f(x) = 3x \)[/tex] to convert yards to feet. Substitute [tex]\( x \)[/tex] with 12.2:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]

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

Thus, the function will return 36.6 feet when the input is 12.2 yards. The correct answer is:
D. 36.6

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Rewritten by : Jeany

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