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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 :

Answer:

The independent variable is b

[tex]b[/tex]

at b=3;

[tex]a=6[/tex]

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;

[tex]a=15-(b+6)[/tex]

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

if b is equal to 3;

[tex]b=3[/tex]

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

[tex]\begin{gathered} a=15-(b+6) \\ a=15-(3+6) \\ a=15-9 \\ a=6 \end{gathered}[/tex]

Therefore, at b=3;

[tex]a=6[/tex]

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