Modelling the proportional relationship, it is found that the coefficient of proportionality is k = 5.
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There is a direct relationship between the area A(x) of a rectangle and its width x. Thus, the following equation can be written:
[tex]A(x) = kx[/tex]
In which k is the constant of proportionality.
In the table, we have for example, point (0.9, 4.5), which means that when [tex]x = 0.9, A(x) = 4.5[/tex], and we use it to find k.
[tex]A(x) = kx[/tex]
[tex]4.5 = 0.9k[/tex]
[tex]k = \frac{4.5}{0.9}[/tex]
[tex]k = 5[/tex]
Thus, the coefficient of proportionality is k = 5.
A similar problem is given at https://brainly.com/question/13112448
