Answer :
To solve the problem of converting yards into feet, we need to use the relationship that 1 yard is equal to 3 feet. Therefore, when we are given an input in yards, we can determine the output in feet by multiplying the number of yards by 3.
Let's go through the steps:
1. Understand the Conversion:
- We have a function [tex]\( f(x) = 3x \)[/tex], which means for any given number of yards ([tex]\( x \)[/tex]), the function will return three times that number in feet.
2. Identify the Input:
- The input in this case is 12.2 yards.
3. Apply the Conversion:
- Use the function: [tex]\( f(12.2) = 3 \times 12.2 \)[/tex].
4. Calculate:
- [tex]\( 3 \times 12.2 \)[/tex] equals to 36.6 feet.
Therefore, when the input is 12.2 yards, the function will output 36.6 feet.
Given the choices:
- A. 36.2
- B. 36.6
- C. 14.2
The correct answer is B. 36.6. This is the number of feet corresponding to 12.2 yards.
Let's go through the steps:
1. Understand the Conversion:
- We have a function [tex]\( f(x) = 3x \)[/tex], which means for any given number of yards ([tex]\( x \)[/tex]), the function will return three times that number in feet.
2. Identify the Input:
- The input in this case is 12.2 yards.
3. Apply the Conversion:
- Use the function: [tex]\( f(12.2) = 3 \times 12.2 \)[/tex].
4. Calculate:
- [tex]\( 3 \times 12.2 \)[/tex] equals to 36.6 feet.
Therefore, when the input is 12.2 yards, the function will output 36.6 feet.
Given the choices:
- A. 36.2
- B. 36.6
- C. 14.2
The correct answer is B. 36.6. This is the number of feet corresponding to 12.2 yards.