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Answer :
To convert a measurement from yards to feet, you can use the conversion factor that 1 yard is equal to 3 feet. The function [tex]\( f(x) \)[/tex] is defined as [tex]\( f(x) = 3x \)[/tex], where [tex]\( x \)[/tex] represents the number of yards.
Here is a step-by-step solution to find out what the function returns when the input is 12.2 yards:
1. Understand the relationship: We have the function [tex]\( f(x) = 3x \)[/tex]. This equation tells us that for every yard, we multiply by 3 to get the equivalent length in feet.
2. Plug in the given value: We want to find [tex]\( f(12.2) \)[/tex], which means substituting 12.2 into the function:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]
3. Perform the multiplication: Multiply 12.2 by 3 to find the equivalent number of feet.
[tex]\[
3 \times 12.2 = 36.6
\][/tex]
4. Conclude the result: The number will the function return if the input is 12.2 yards is 36.6 feet.
Therefore, the correct answer is C. 36.6.
Here is a step-by-step solution to find out what the function returns when the input is 12.2 yards:
1. Understand the relationship: We have the function [tex]\( f(x) = 3x \)[/tex]. This equation tells us that for every yard, we multiply by 3 to get the equivalent length in feet.
2. Plug in the given value: We want to find [tex]\( f(12.2) \)[/tex], which means substituting 12.2 into the function:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]
3. Perform the multiplication: Multiply 12.2 by 3 to find the equivalent number of feet.
[tex]\[
3 \times 12.2 = 36.6
\][/tex]
4. Conclude the result: The number will the function return if the input is 12.2 yards is 36.6 feet.
Therefore, the correct answer is C. 36.6.
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