Answer :
To solve the problem of converting 12.2 yards to feet using the function [tex]\( f(x) = 3x \)[/tex], follow these steps:
1. Understand the function: The function [tex]\( f(x) = 3x \)[/tex] takes a measurement in yards and converts it to feet. Since 1 yard is equal to 3 feet, multiplying the yards by 3 gives you the equivalent feet.
2. Input the given value: We need to find the function's output when the input is 12.2 yards. This means we substitute [tex]\( x \)[/tex] with 12.2 in the function.
3. Perform the calculation:
- Using the formula [tex]\( f(x) = 3x \)[/tex]:
- Substitute [tex]\( x = 12.2 \)[/tex]:
- Calculate [tex]\( f(12.2) = 3 \times 12.2 \)[/tex].
4. Calculate the product: Multiply 12.2 by 3:
- [tex]\( 3 \times 12.2 = 36.6 \)[/tex].
Therefore, the function will return 36.6 when the input is 12.2 yards.
So, the choice is:
A. 36.6
1. Understand the function: The function [tex]\( f(x) = 3x \)[/tex] takes a measurement in yards and converts it to feet. Since 1 yard is equal to 3 feet, multiplying the yards by 3 gives you the equivalent feet.
2. Input the given value: We need to find the function's output when the input is 12.2 yards. This means we substitute [tex]\( x \)[/tex] with 12.2 in the function.
3. Perform the calculation:
- Using the formula [tex]\( f(x) = 3x \)[/tex]:
- Substitute [tex]\( x = 12.2 \)[/tex]:
- Calculate [tex]\( f(12.2) = 3 \times 12.2 \)[/tex].
4. Calculate the product: Multiply 12.2 by 3:
- [tex]\( 3 \times 12.2 = 36.6 \)[/tex].
Therefore, the function will return 36.6 when the input is 12.2 yards.
So, the choice is:
A. 36.6