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The area of a square depends on the length of its sides. Answer the questions below regarding the relationship between the area of the square and the length of one side of the square.

1. The independent variable, [tex]$x$[/tex], represents the [tex]$\square$[/tex], and the dependent variable is the [tex]$\square$[/tex], because the [tex]$\square$[/tex] depends on the [tex]$\square$[/tex].
2. A function relating these variables is [tex]$Z(x)=$[/tex] [tex]$\square$[/tex].
3. So [tex]$Z(5)=$[/tex] [tex]$\square$[/tex], meaning if [tex]$x = 5$[/tex], then [tex]$\square$[/tex].



Answer :

GinnyAnswer
Sure, let’s fill in the blanks step-by-step:

1. The independent variable, [tex]\( x \)[/tex], represents the length of one side of the square , and the dependent variable is the area of the square , because the area depends on the length of the side.

2. A function relating these variables is [tex]\( Z(x) = x^2 \)[/tex].

3. So [tex]\( Z(5) = 25 \)[/tex], meaning if 5 is the length of one side of the square, the area of the square will be 25.

Putting it all together, it looks like this:

The independent variable, [tex]\( x \)[/tex], represents the length of one side of the square , and the dependent variable is the area of the square , because the area depends on the length of the side.

A function relating these variables is [tex]\( Z(x) = x^2 \)[/tex].

So [tex]\( Z(5) = 25 \)[/tex], meaning if 5 is the length of one side of the square, the area of the square will be 25.

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