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=(y_2-y_1)/(x_2-x_1)`

Using the first two rows of the table we have:

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

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