Question

Find the constant of proportionality for the table of values. 8 9 24.5 28 The constant of proportionality is k =

Answer 1

To find the constant of proportionality k we have to pick 2 points from the table. This points (x1,y1) and (x2,y2) will give the constant like:

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

I'll pick the first two points:

• x1 = 6

,

• y1 = 21

,

• x2 = 7

,

• y2 = 24.5

$k=\frac{24.5-21}{7-6}=\frac{3.5}{1}=3.5$

The constant of proportionality is k = 3.5