v is the dependent variable; i is the independent variable
Work Step by Step
Given that $v=2i^2-3i+10$ v is the dependent variable and i is the independent variable. With this type of equation you are being asked to solve for v based on varying values of i. Because the value substituted for i can be changed arbitrarily, i is called the independent variable. Because the value that is computed for v changes based on the value of i, v is called the dependent variable.