Final answer:
In mathematics and various sciences, a variable represents a quantity that can change or vary, such as the unknowns in an algebraic equation. Variables are essential for representing relationships in experiments, with dependent variables being affected by independent variables. Option B is correct answer.
Step-by-step explanation:
In mathematics or economics, a variable is a symbol or letter that represents a value which can change or vary. It is commonly used in algebra, where it stands for an unknown number in an equation or a formula. For example, in the equation y = mx + b, x and y are the variables. X is typically found on the horizontal axis while y is on the vertical axis when graphed on a coordinate plane. The m symbol stands for the slope of the line, which represents how steep the line is. The b represents the y-intercept, which is where the line crosses the y-axis. The values of m and b are constants that determine the specific equation of the line,
Variables are fundamental in representing relationships in scientific studies as well. In experiments, the dependent variable is the outcome variable that is influenced by another variable, known as the independent variable. The independent variable is the one that is manipulated or changed in a study to investigate its effects on the dependent variable.
Understanding the role of variables is critical in both pure and applied sciences, as they help to establish a clear relationship between different quantities and assist in forming predictions about how these quantities will interact. The correct answer to the original question about the meaning of 'variable' is option b. Subject to change.