Question

A room is 15 feet tall. An architect wants to include a window that is 6 feet tall. The distance between the floor and the bottom of the window is b feet. The distance between the ceiling and the top of the window is a feet. This relationship can be a described by the equation a = 15 − (b + 6). Which variable is the independent variable in this equation?

Answer 1

The independent variable is b

`b`

at b=3;

`a=6`

Step-by-step explanation:

Given that the distance between the floor and the bottom of the window is b feet.

The distance between the ceiling and the top of the window is a feet.

This relationship can be described by the equation;

`a=15-(b+6)`

From the equation above, the independent variable is b and the dependent variable is a.

if b is equal to 3;

`b=3`

The value of a can be calculated by substituting the value of b into the equation;

`\begin{gathered} a=15-(b+6) \\ a=15-(3+6) \\ a=15-9 \\ a=6 \end{gathered}`

Therefore, at b=3;

`a=6`