The length of a section of fence (v) is directly proportional to the number of pickets (x). the equation models the given situation is y = 5.5x.
Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x = ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
The proportional relationship between x and y can be written symbolically as
[tex]x \propto y[/tex]
That middle sign is called a sign of proportionality.
The length of a section of fence (v) is directly proportional to the number of pickets (x).
If there are 20 pickets in a fence section that is 110 inches long.
y = K × x
110 = K × 20
K = 5.5
where K is the proportionality constant.
So, y = K × x
y = 5.5x
Therefore, the equation models the given situation is y = 5.5x.
Learn more about proportionality ;
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