A yard is equal in length to three feet. The function [tex]f(x)[/tex] takes a measurement in yards (as input) and returns a measurement in feet (as output).
[tex]f(x)=3 x[/tex]
What number will the function return if the input is [tex]12.2[/tex]?
A. 14.2
B. 36.6
Answer (1)
Substitute x = 12.2 into the function f ( x ) = 3 x .
Calculate 3 × 12.2 .
The result of the calculation is 36.6 .
The function returns 36.6 .
Explanation
Understanding the problem We are given the function f ( x ) = 3 x , which converts yards to feet. We need to find the output of the function when the input is x = 12.2 yards.
Substituting the value To find the value of f ( 12.2 ) , we substitute 12.2 for x in the function: f ( 12.2 ) = 3 × 12.2
Calculating the result Now, we perform the multiplication: f ( 12.2 ) = 36.6
Final Answer Therefore, the function returns 36.6 when the input is 12.2 .
Examples
Imagine you're designing a rectangular garden and need to convert the length from yards to feet to purchase the correct amount of fencing. If the garden is 12.2 yards long, you would use the function f ( x ) = 3 x to find the length in feet: f ( 12.2 ) = 3 × 12.2 = 36.6 feet. This conversion helps you accurately measure and plan your garden layout and material needs.
