What is 16 – x at x = 5?
The Correct Answer and Explanation is :
The correct answer is: 11.
To solve the expression ( 16 – x ) at ( x = 5 ), we simply substitute the value of ( x ) into the expression.
- Start with the expression:
[
16 – x
] - Substitute ( x = 5 ):
[
16 – 5
] - Perform the subtraction:
[
16 – 5 = 11
]
Thus, when ( x = 5 ), the expression ( 16 – x ) equals 11.
Explanation
This calculation involves evaluating a simple arithmetic expression, which is a fundamental concept in mathematics. An expression like ( 16 – x ) is linear, meaning it represents a straight line when plotted on a graph. The value of ( x ) can change, and each different value results in a corresponding value for the expression.
In this case, ( 16 – x ) can be interpreted as the difference between a constant value (16) and the variable ( x ). This difference tells us how much ( x ) contributes to the total of 16.
When ( x ) increases, the value of the expression decreases. Conversely, if ( x ) decreases, the value of the expression increases. For example, if we had ( x = 0 ), then ( 16 – 0 = 16 ), which is the maximum value for this expression.
Evaluating expressions by substituting values is essential in various fields, including science, engineering, and finance, where it is often necessary to compute outcomes based on different inputs. Understanding how to manipulate and evaluate such expressions lays the groundwork for more advanced mathematical concepts, including functions, algebra, and calculus.
In conclusion, substituting ( x = 5 ) into ( 16 – x ) gives us a straightforward result of 11, showcasing basic arithmetic’s simplicity and utility in problem-solving.