this table displays a scenario. what can be determined from the table? check all that apply. gallons, g…

this table displays a scenario. what can be determined from the table? check all that apply. gallons, g liters, l 1 3.79 2 7.58 3 11.37 4 15.16 5 18.95 6 22.74 the independent variable is the number of gallons. liters is a function of gallons. the equation l = 3.79g represents the table. as the number of gallons increases, the number of liters increases. this is a function because every input has exactly one output.

this table displays a scenario. what can be determined from the table? check all that apply. gallons, g liters, l 1 3.79 2 7.58 3 11.37 4 15.16 5 18.95 6 22.74 the independent variable is the number of gallons. liters is a function of gallons. the equation l = 3.79g represents the table. as the number of gallons increases, the number of liters increases. this is a function because every input has exactly one output.

Answer

Explanation:

Step1: Identify independent variable

In a relationship between two variables, the variable that we can change freely is the independent variable. Here, we can choose the number of gallons, so the number of gallons is the independent variable.

Step2: Check function - relationship

For each value of gallons ($g$), there is a unique value of liters ($l$). So liters is a function of gallons.

Step3: Check the equation

When $g = 1$, $l=3.79\times1 = 3.79$; when $g = 2$, $l = 3.79\times2=7.58$ and so on. The equation $l = 3.79g$ represents the table.

Step4: Analyze the trend

As $g$ (number of gallons) increases (from 1 to 2, 3, etc.), $l$ (number of liters) calculated as $l = 3.79g$ also increases.

Step5: Understand function - definition

A function is a relation where each input (value of the independent variable) has exactly one output (value of the dependent variable). Here for each value of $g$ there is exactly one value of $l$, so it is a function.

Answer:

The independent variable is the number of gallons. Liters is a function of Gallons. The equation $l = 3.79g$ represents the table. As the number of gallons increases, the number of liters increases. This is a function because every input has exactly one output.