A function assigns the values. All the statements are true.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
A.) The independent variable is the number of gallons.
The statement holds true, generally when a table is formed x is on the left side of the table which is an independent variable and y is on the right side which is the dependent variable.
B.) Liters are a function of Gallons.
The statement is true, generally when a table is formed x is on the left side of the table which is an independent variable and y is on the right side which is the dependent variable. And y is a function of x, similarly, liters is the function of gallons.
C.) The equation l = 3.79g represents the table.
The equation is true if we substitue the value of gallons in the place of g, the output will be the value of l. Thus, the equation is true.
[tex]\rm l = 3.79g\\\\l = 3.79(1\ gallons) \rightarrow l=3.79\ liters\\\\l = 3.79(2\ gallons) \rightarrow l=7.58\ liters\\\\l = 3.79(6\ gallons) \rightarrow l=22.74\ liters[/tex]
D.) As the number of gallons increases, the number of litres increases.
The statement holds true and can be observed in the table.
E.) This is a function because every input has exactly one output.
The statement holds true and can be observed in the table.
Hence, all the statements are true.
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