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Answer :
To find the value that the function [tex]$f(x) = 3x$[/tex] returns when the input is [tex]$12.2$[/tex], let's go through the process step-by-step:
1. Identify the Function: The function given is [tex]$f(x) = 3x$[/tex]. This means for any input [tex]$x$[/tex], the function will multiply [tex]$x$[/tex] by 3.
2. Substitute the Input Value: The input value we are working with is [tex]$12.2$[/tex] yards. So, we substitute [tex]$12.2$[/tex] for [tex]$x$[/tex] in the function:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]
3. Calculate the Result: Perform the multiplication to find the output in feet.
4. Determine the Output: When you multiply [tex]$3 \times 12.2$[/tex], you will get approximately [tex]$36.6$[/tex].
Therefore, the function [tex]$f(x)$[/tex] returns [tex]$36.6$[/tex] feet when the input is [tex]$12.2$[/tex] yards. The correct answer is:
D. 36.6
1. Identify the Function: The function given is [tex]$f(x) = 3x$[/tex]. This means for any input [tex]$x$[/tex], the function will multiply [tex]$x$[/tex] by 3.
2. Substitute the Input Value: The input value we are working with is [tex]$12.2$[/tex] yards. So, we substitute [tex]$12.2$[/tex] for [tex]$x$[/tex] in the function:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]
3. Calculate the Result: Perform the multiplication to find the output in feet.
4. Determine the Output: When you multiply [tex]$3 \times 12.2$[/tex], you will get approximately [tex]$36.6$[/tex].
Therefore, the function [tex]$f(x)$[/tex] returns [tex]$36.6$[/tex] feet when the input is [tex]$12.2$[/tex] yards. The correct answer is:
D. 36.6
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