In the equation Q = a - bp + e; Q and P are ... Variables respectively.
Answer Details
In the given equation Q = a - bp + e, we need to understand the roles of the variables Q and P.
In any equation where we are trying to establish a relationship between two variables, one of the variables is usually controlled or changed deliberately, while the other one is observed as it changes in response. In such equations:
The **independent variable** is the one that you control or change to see how it affects another variable. It is like the **cause** or **input**.
The **dependent variable** is the one that changes as a result of the changes in the independent variable. It is like the **effect** or **output**.
In the equation Q = a - bp + e, **Q** is the outcome or result that we observe, and it depends on the value of **P**. Thus, **Q is the dependent variable** because it changes depending on the values of **P**. Conversely, **P** is the one that we can change or manipulate in the context of this equation, so **P is the independent variable**.
Therefore, the correct description for **Q** and **P** is that Q is the **dependent** variable, and P is the **independent** variable.