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
