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Question 8 of 10

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]\[
\begin{array}{ccc}
& f(x) = 3x \\
\text{Input (Yards)} & & \text{Output (Feet)} \\
1 & \longrightarrow & f(1) = 3 \\
2 & \longrightarrow & f(2) = 6 \\
12.2 & \longrightarrow & f(12.2) = ? \\
\end{array}
\][/tex]

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

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

Sagot :

GinnyAnsweridn
To find the number that the function [tex]\( f(x) \)[/tex] will return for an input of 12.2 yards, follow these steps:

1. The function [tex]\( f(x) \)[/tex] is defined as [tex]\( f(x) = 3x \)[/tex]. This means that for every yard (input [tex]\( x \)[/tex]), the function will return three times [tex]\( x \)[/tex] in feet as the output.

2. To find the output when the input is 12.2 yards, substitute [tex]\( x = 12.2 \)[/tex] into the function:
[tex]\[ f(12.2) = 3 \times 12.2 \][/tex]

3. Perform the multiplication:
[tex]\[ 3 \times 12.2 = 36.6 \][/tex]

4. Therefore, the function returns 36.6 feet for an input of 12.2 yards.

Thus, the correct answer is:
D. 36.6
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