Question

The table shows a direct relationship between the area A(x) of a rectangle and its width x. Use the table above to find the coefficient of proportionality k and fill in the missing numbers.

Answer 1

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:

$A(x) = kx$

In which k is the constant of proportionality.

In the table, we have for example, point (0.9, 4.5), which means that when $x = 0.9, A(x) = 4.5$, and we use it to find k.

$A(x) = kx$

$4.5 = 0.9k$

$k = \frac{4.5}{0.9}$

$k = 5$

Thus, the coefficient of proportionality is k = 5.

A similar problem is given at brainly.com/question/13112448