What number will the function return if the input is [tex]$10.5$[/tex]?
Answer (1)
The problem provides a function f ( x ) = 3 x to convert yards to feet.
Substitute x = 10.5 into the function.
Calculate f ( 10.5 ) = 3 × 10.5 .
The function returns 31.5 .
Explanation
Understanding the problem We are given the function f ( x ) = 3 x , which converts yards to feet. We need to find the value of the function when the input is 10.5 yards.
Substituting the value To find the value of f ( 10.5 ) , we substitute x = 10.5 into the function: f ( 10.5 ) = 3 × 10.5
Calculating the final answer Calculating the result: f ( 10.5 ) = 31.5 So, when the input is 10.5 yards, the function returns 31.5 feet.
Examples
Imagine you're planning a garden and need to convert the length of your plot from yards to feet to buy the right amount of fencing. Knowing that 1 yard equals 3 feet, you can use the function f ( x ) = 3 x to easily convert any yard measurement ( x ) into feet. For instance, if your garden plot is 10.5 yards long, you would calculate f ( 10.5 ) = 3 × 10.5 = 31.5 feet. This tells you exactly how much fencing to purchase, ensuring you have enough to enclose your garden.
