When x=4,what is the value of 8x
The Correct Answer and Explanation is :
To find the value of (8x) when (x = 4), we can simply substitute the value of (x) into the expression (8x).
Calculation
- Start with the expression:
[
8x
] - Substitute (x = 4):
[
8(4)
] - Perform the multiplication:
[
8 \times 4 = 32
]
Therefore, when (x = 4), the value of (8x) is (32).
Explanation
The expression (8x) is a linear function where (8) is a coefficient and (x) is the variable. This means that for every unit increase in (x), the value of (8x) increases by (8). The coefficient (8) indicates that the output will be eight times the input (x).
In this specific case, we are asked to evaluate (8x) at a particular value of (x), which is (4). Substituting (4) into the expression allows us to calculate the output directly. Multiplication is one of the basic arithmetic operations and is essentially repeated addition. In this case, (8 \times 4) can also be thought of as adding (4) a total of (8) times:
[
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 32
]
Understanding the relationship between variables and constants in expressions like (8x) is fundamental in algebra. It helps in solving equations, modeling real-world situations, and understanding how changing one variable affects another. This principle is foundational in various fields such as mathematics, physics, engineering, and economics, where linear relationships are commonly analyzed.
In summary, substituting the value of (x) into the expression (8x) and performing the multiplication gives us the value (32), illustrating the direct relationship between (x) and the output of the function.