Question

What is the value of relationship between x and y shown in the table may be expressed where k is the constant of proportionality, A A A / у 3 2.25 B) 1 0.75 2 1.5 5 3.75 D

Answer 1

The constant of proportionality can be obtained by:

$k=\frac{y_2-y_1}{x_2-x_1}$

Using the first two rows of the table we have:

$\begin{gathered} k=\frac{0.75-2.25}{-1-(-3)} \\ =\frac{-1.5}{2} \\ =-0.75 \end{gathered}$

Therefore, k=-0.75, this is equal to -3/4, hence the answer is B.