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Answer :
To solve this question, we need to convert a measurement in yards to feet. We know that:
1 yard = 3 feet
The function [tex]\( f(x) \)[/tex] does this conversion for us. Specifically, [tex]\( f(x) \)[/tex] takes a measurement in yards (as input) and returns the measurement in feet (as output). The function is defined as:
[tex]\[ f(x) = 3x \][/tex]
Given the input of 12.2 yards, we need to find the output in feet using the function [tex]\( f(x) = 3x \)[/tex].
Step-by-Step Solution:
1. Identify the input value: [tex]\( x = 12.2 \)[/tex] yards.
2. Substitute [tex]\( x = 12.2 \)[/tex] into the function [tex]\( f(x) = 3x \)[/tex]:
[tex]\[ f(12.2) = 3 \times 12.2 \][/tex]
3. Perform the multiplication to convert yards to feet:
[tex]\[ 3 \times 12.2 = 36.6 \][/tex]
So, when the input is 12.2 yards, the function returns 36.6 feet.
Therefore, the correct answer is:
B. 36.6
1 yard = 3 feet
The function [tex]\( f(x) \)[/tex] does this conversion for us. Specifically, [tex]\( f(x) \)[/tex] takes a measurement in yards (as input) and returns the measurement in feet (as output). The function is defined as:
[tex]\[ f(x) = 3x \][/tex]
Given the input of 12.2 yards, we need to find the output in feet using the function [tex]\( f(x) = 3x \)[/tex].
Step-by-Step Solution:
1. Identify the input value: [tex]\( x = 12.2 \)[/tex] yards.
2. Substitute [tex]\( x = 12.2 \)[/tex] into the function [tex]\( f(x) = 3x \)[/tex]:
[tex]\[ f(12.2) = 3 \times 12.2 \][/tex]
3. Perform the multiplication to convert yards to feet:
[tex]\[ 3 \times 12.2 = 36.6 \][/tex]
So, when the input is 12.2 yards, the function returns 36.6 feet.
Therefore, the correct answer is:
B. 36.6
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