1. Independent/Dependent Variables

2. Function Machine Input Output IN Out x Y or f(x) Independent Variable Dependent Variable Domain Range

3. Dependent and Independent Variables In a function, the value of the y-coordinate depends on the value of the x-coordinate. Therefore, Y is the dependent variable and X is the independent variable.

4. Independent and Dependent Variables Circle the Dependent Variable in each pair below: 1.Hours worked Paycheck amount 2.Six-week gradeTest score 3.ProfitUnits sold 4.Attendance Employability Skills Grade The paycheck amount depends on the number of hours worked so the paycheck amount is the dependent variable The six-week grade depends on the test score so the six-week grade is the dependent variable

5. Indep/Dep Variables In an equation the variable by itself is the dependent variable. Example: y = x +3 y depends on x Dependent variable: y Independent variable: x

6. 1. r = 17s + 23 Dependent variable ____________ Independent Variable ____________ 2. The formula gives the area of a circle with a radius r. Dependent variable________________ Independent Variable_______________ r s A, Area r, radius Name the dependent and independent variables.

7. On a graph the variable on the y-axis is the dependent variable The variable on the x-axis is the independent variable Indep/Dep Variables # of touchdowns Score Dependent Variable Independent Variable

8. # records sold profit 1. 2. # absences grade Dependent Quantity _________________ Independent Quantity __________________ Dependent Quantity _________________ Independent Quantity __________________ profit # records sold grade # absences Name the dependent and independent variables.

9. Table In a table normally the independent variable is on the left and the dependent variable is on the right xy 12 512 615 924 1256 Independent Variable Dependent Variable

10. Table Examples Name the independent variable and dependent variable DT 0.220 0.330 1.2120 1.4140 1.7170 Independent: WeeblesWoobles -215 20 025 130 235 Dependent: D T Independent: Dependent: Weebles Woobles