Question

This table displays a scenario.

A two column table with seven rows. The first column, gallons, g, has the entries, 1, 2, 3, 4, 5, 6. The second column, liters, l, has the entries, 3.79, 7.58, 11.37, 15.16, 18.95, 22.74.
What can be determined from the table? Check all that apply.

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 1

All of them

Explanation:

Answer 2

All the options apply:

- 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.

Explanation:

Let's check each option:

- The independent variable is the number of gallons.

This is true, because by definition, the independent variable is the input value. In this case, it is the number of gallons "g".

- Liters is a function of Gallons.

This is true, because the value Liters depends upon the value of Gallons.

- The equation
`l = 3.79g` represents the table.

This is true, because each output value"l" is obtained by multiplying the corresponding input value "g" by 3.79

- As the number of gallons increases, the number of liters increases.

This is true (as you can observe in the table)

- This is a function because every input has exactly one output.

This is true. By definition, a relation is a function if and only if each inpute value has exactly one output value. Since each value "g" has an unique value "l" in the table, it is a function.