Independent and Dependent Variables with Math

Jan is having the walls of her house painted. The cost depends on the area of the walls. Which is the dependent variable, and which is the independent variable?

• The dependent variable is the cost, and the independent variable is the area of the walls.

• The dependent variable is the area of the walls, and the independent variable is the cost.

• The dependent variable is the number of floors, and the independent variable is the cost.

• The dependent variable is the cost, and the independent variable is the number of floors.

Sandra is buying new carpet for the floors of her house. The cost depends on the area of the floors. Which is the dependent variable, and which is the independent variable?

• The dependent variable is the cost, and the independent variable is the area of the floors.

• The dependent variable is the area of the floors, and the independent variable is the cost.

• The dependent variable is the number of walls in the house, and the independent variable is the cost.

• The dependent variable is the cost, and the independent variable is the number of walls in the house.

Raman is buying new windows for his house. The cost depends on the number of windows. Which is the dependent variable, and which is the independent variable?

• The dependent variable is the cost, and the independent variable is the number of windows.

• The dependent variable is the number of windows, and the independent variable is the cost.

• The dependent variable is the number of rooms in the house, and the independent variable is the cost.

• The dependent variable is the cost, and the independent variable is the number of rooms in the house.

A bookstore is having a sale. Every book is $3 off, regardless of the original price. The sale price for every book is $3 less than the original price. Let x = original price Let y = sale price Which equation represents this situation?

• y = x – 3

• y = x + 3

• y = 3x

• y = x ÷ 3

Isaiah has h baseball cards. Miguel has 7 more baseball cards than Isaiah. If Miguel has k baseball cards, express k in terms of h. State the independent and dependent variables.

• Independent variable: none; Dependent variable: k

• Independent variable: h; Dependent variable: none

• Independent variable: k; Dependent variable: h

• Independent variable: h; Dependent variable: k

Write an equation for each of the following. Then state the independent and dependent variables for each equation. Hannah took p minutes to jog around a park. Sofia took 12 minutes longer to jog around the park. If Sofia took t minutes to jog around the park, express t in terms of p.

• t = p + 12 Independent variable: t; Dependent variable: p

• t = p + 12 Independent variable: p; Dependent variable: t

• p = t + 12 Independent variable: p; Dependent variable: t

• p = t + 12 Independent variable: t; Dependent variable: p

Write an equation for each of the following. Then state the independent and dependent variables for each equation. A bouquet of roses costs $30. A bouquet of tulips costs m dollars less. If the cost of one bouquet of tulips is n dollars, express n in terms of m.

• m = 30 – n. Independent variable: m; Dependent variable: n

• m = 30 – n. Independent variable: n; Dependent variable: m

• n = 30 – m. Independent variable: n; Dependent variable: m

• n = 30 – m. Independent variable: m; Dependent variable: n

Write an equation for each of the following. Then state the independent and dependent variables for each equation. Nathan has 7 boxes of marbles. Each box contains b marbles. If he has c marbles altogether, express c in terms of b.

• b = 7c Independent variable: c; Dependent variable: b

• b = 7c Independent variable: b; Dependent variable: c

• c = 7b Independent variable: b; Dependent variable: c

• c = 7b Independent variable: c; Dependent variable: b

Write an equation for each of the following. Then state the independent and dependent variables for each equation. A motel charges Mr. Kim x dollars for his stay. Mr. Kim stayed at the motel for 12 nights. If the rate per night for a room is y dollars, express y in terms of x.

Copy and complete the table. Then use the table to answer the questions. The width of a rectangular tank is 2 meters less than its length. Use the data to plot the points on a coordinate plane. Connect the points with a line.

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• none of those