Question

If (20,8) and (25, 10) belong to a proportional relationship, what is the constant of proportionality

A. 5/2

B. 3/2

C. 1/2

D. 2/5

Answer 1

The proportionality constant is 2/5

Explanation:

Here, we want to get the proportionality constant

Let us view the two points as being points on a line

The constant of proportionality will be the slope of the line that connects the two points

Mathematically, we can use the formula for the slope of a line

We have this as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (20,8)

(x2,y2)= (25,10)

m = (10-8)/(25-20) = 2/5