Final answer:
The constant in the equation y = 4x is 4 (option a). By substituting different values for x in the equation, we can create a table showing the corresponding y values, demonstrating the linear relationship between x and y.
Step-by-step explanation:
In the equation y = 4x, the constant is the number that is multiplied by the independent variable x to determine the value of the dependent variable y. In this case, the constant is 4. To create a table using the equation, one would choose a set of values for x, then calculate corresponding y values by multiplying each x value by the constant. For example, if x equals 1, then y equals 4 because 4 multiplied by 1 is 4.
Table of values for y = 4x:
When x = 0, y = 4×0 = 0
- When x = 1, y = 4×1 = 4
- When x = 2, y = 4×2 = 8
- When x = 3, y = 4×3 = 12
- When x = 4, y = 4×4 = 16
The correct choice for the constant in the equation y = 4x is option a) Constant: 4.