Question

(a) a family is going to paint their house. the graph below shows how the area to be painted influences the amount of paint needed. amount of paint needed (gallons) area to be painted (square feet) identify the dependent and independent variables. dependent variable: choose one independent variable: choose one (b) teresa sells used cars. the table below shows how the price of each car she sold has been affected by the cars age. cars age in years (x) cars price in dollars (y) 8 3,000 6 5,000 4 8,000 2 14,500 identify the dependent and independent variables. dependent variable: choose one independent variable: choose one

Explanation:

Step1: Recall the definition of variables

The independent variable is the one that is changed or controlled in an experiment or situation, and the dependent variable depends on the independent variable.

Step2: Analyze the house - painting situation

The area to be painted is what we can control or vary first. The amount of paint needed depends on the area to be painted. So, the independent variable is the area to be painted, and the dependent variable is the amount of paint needed.

Step3: Analyze the car - selling situation

The age of the car is what we consider first (it is the variable that we observe or start with). The price of the car depends on its age. So, the independent variable is the car's age, and the dependent variable is the car's price.

Answer:

(a) Independent variable: Area to be painted (square feet); Dependent variable: Amount of paint needed (gallons)
(b) Independent variable: Car's age (in years); Dependent variable: Car's price (in dollars)