Independent and Dependent Variables

1.3 Independent and Dependent Variables 4-3 Writing Functions The input of a function is the independent variable The output of a function is the dependent variable The value of the dependent variable depends on, or is a function of, the value of the independent variable Holt Algebra 4-3 Writing Functions Example 2A: Identifying Independent and Dependent Variables Identify the independent and dependent variables in the situation A painter must measure a room before deciding how much paint to buy The amount of paint depends on the measurement of a room Dependent: amount of paint Independent: measurement of the room Holt Algebra 4-3 Writing Functions Example 2B: Identifying Independent and Dependent Variables Identify the independent and dependent variables in the situation The height of a candle decrease d centimeters for every hour it burns The height of a candle depends on the number of hours it burns Dependent: height of candle Independent: time Holt Algebra 4-3 Writing Functions Example 2C: Identifying Independent and Dependent Variables Identify the independent and dependent variables in the situation A veterinarian must weight an animal before determining the amount of medication The amount of medication depends on the weight of an animal Dependent: amount of medication Independent: weight of animal Holt Algebra 4-3 Writing Functions Helpful Hint There are several different ways to describe the variables of a function Independent Variable Holt Algebra Dependent Variable x-values y-values Domain Range Input Output x f(x) 4-3 Writing Functions Check It Out! Example 2a Identify the independent and dependent variable in the situation A company charges $10 per hour to rent a jackhammer The cost to rent a jackhammer depends on the length of time it is rented Dependent variable: cost Independent variable: time Holt Algebra 4-3 Writing Functions Check It Out! Example 2b Identify the independent and dependent variable in the situation Camryn buys p pounds of apples at $0.99 per pound The cost of apples depends on the number of pounds bought Dependent variable: cost Independent variable: pounds Holt Algebra ... room Dependent: amount of paint Independent: measurement of the room Holt Algebra 4-3 Writing Functions Example 2B: Identifying Independent and Dependent Variables Identify the independent and dependent. .. Holt Algebra 4-3 Writing Functions Example 2A: Identifying Independent and Dependent Variables Identify the independent and dependent variables in the situation A painter must measure a room before... Holt Algebra 4-3 Writing Functions Example 2C: Identifying Independent and Dependent Variables Identify the independent and dependent variables in the situation A veterinarian must weight an animal