Question

Use the equation $y=3x-4.5$, and choose the correct statement that gives the correct value of $y$ for the given value of $x$ and find the dependent and the independent variables.

• A. For $x=0,y=-4.5$ where $x$ is an independent variable and $y$ is the dependent variable.
• B. For $x=1.5,y=0$ where $x$ is an independent variable and $y$ is the dependent variable.
• C. For $x=1.5,y=0$ where $x$ is a dependent variable and $y$ is the independent variable
• D. Both A and C

Answer 1

The correct option is D Both A and C

Equation: $y=3x-4.5$
The variable representing the quantity that can change freely is the independent variable. The other variable whose value relies on the value of the independent variable is the dependent variable.

The value of $y$ relies on the value of $x$ in the equation $y=3x-4.5$. So, $y$ is the dependent variable, and $x$ is the independent variable.

Option A:
For $x=1.5,y=3\times 1.5-4.5$
$y=4.5-4.5$
$y=0$
Also, $x$ is an independent variable, and $y$ is the dependent variable.

Option A is correct.

Option B
For $x=1.5,y=3\times 1.5-4.5$
$y=4.5-4.5$
$y=0$
Also, $x$ is a dependent variable, and $y$ is the independent variable.
Option B is incorrect.

Option C
For $x=0,y=0\times 1.5-4.5$
$y=0-4.5$
$y=-4.5$

Also, $x$ is an independent variable, and $y$ is the dependent variable.
Option C is correct.

So, Option D is correct.