Answer :
To solve this problem, we're using the function [tex]\( f(x) = 3x \)[/tex], which converts a measurement from yards to feet. The variable [tex]\( x \)[/tex] represents the number of yards, and since we know that 1 yard equals 3 feet, the function multiplies the yards by 3 to get the feet.
Here are the steps to find out what the function will return if the input is 12.2:
1. Identify the Conversion: Remember that 1 yard equals 3 feet. This means for every yard, you multiply by 3 to get the equivalent in feet.
2. Apply the Conversion to 12.2 Yards: Since we have 12.2 yards as the input, we need to calculate how many feet this is. We do this by multiplying 12.2 by 3.
[tex]\[
\text{Feet} = 12.2 \, \text{yards} \times 3 \, \text{feet/yard}
\][/tex]
3. Calculate the Result:
[tex]\[
\text{Feet} = 12.2 \times 3 = 36.6
\][/tex]
So, when you input 12.2 yards, the function returns 36.6 feet. Therefore, the correct answer is:
D. 36.6
Here are the steps to find out what the function will return if the input is 12.2:
1. Identify the Conversion: Remember that 1 yard equals 3 feet. This means for every yard, you multiply by 3 to get the equivalent in feet.
2. Apply the Conversion to 12.2 Yards: Since we have 12.2 yards as the input, we need to calculate how many feet this is. We do this by multiplying 12.2 by 3.
[tex]\[
\text{Feet} = 12.2 \, \text{yards} \times 3 \, \text{feet/yard}
\][/tex]
3. Calculate the Result:
[tex]\[
\text{Feet} = 12.2 \times 3 = 36.6
\][/tex]
So, when you input 12.2 yards, the function returns 36.6 feet. Therefore, the correct answer is:
D. 36.6