Which expression represents 4 times as much as 12 – The expression “4 times as much as 12” can be represented algebraically as 4×12. This expression implies the mathematical operation of multiplication, where the value 12 is multiplied by 4. The numerical value of this expression is 48, which can be calculated by performing the multiplication operation.
Substituting different values for the variable x in the expression allows us to explore various scenarios and their corresponding results.
The graph of the expression 4×12 is a straight line with a slope of 4 and a y-intercept of 0. This graph can be used to visualize the relationship between the variable x and the value of the expression.
Expression Interpretation
The phrase “4 times as much as 12” means that a quantity is four times the value of 12. Mathematically, this can be expressed as the multiplication of 4 and 12.
Algebraic Representation
The algebraic expression that represents 4 times as much as 12 is 4 × 12. This expression consists of two terms: 4 (the multiplier) and 12 (the multiplicand).
Numerical Evaluation, Which expression represents 4 times as much as 12
To evaluate the expression 4 × 12, we multiply 4 by 12:
“`
× 12 = 48
“`
Therefore, the numerical value of the expression is 48.
Variable Substitution
We can substitute different values for the variable in the expression to calculate the corresponding results. Let’s create a table:
| Variable | Value | Result |
|---|---|---|
| x | 5 | 20 |
| y | 10 | 40 |
| z | 15 | 60 |
Graphing the Expression
The graph of the expression 4 × 12 is a straight line passing through the origin with a slope of 4. The line extends indefinitely in both directions, indicating that the value of the expression increases without bound as the variable increases.
Real-World Applications
The expression “4 times as much as 12” can be applied in various real-world scenarios, such as:
- Calculating the total cost of an item that is 4 times the price of another item
- Determining the length of a side of a square that has an area 4 times the area of another square
- Estimating the population of a city that is expected to grow to 4 times its current size
Key Questions Answered: Which Expression Represents 4 Times As Much As 12
What is the algebraic expression for “4 times as much as 12”?
4×12
What is the numerical value of the expression 4×12?
48
What is the slope of the graph of the expression 4×12?
4
