Question

9. Find the Constant of Proportionality using the ordered pair shown on the graph below. * у 60 (10, 55) 50 40 30 20 10 0 2 4 6 8 10 12 14 2 а 55 b 55

Answer 1

Constant of proportionality

We know that the constant of proportionality shows us how much is the change of a variable in relation to the change of another variable.

In this case we want to see how much y changes when x change. In order to find it out we just have to divide them:

`(y)/(x)`

We have that the line cross the point (10, 55) from the origin (0, 0). Since (x, y), the change of x is 10 and the change of y is 55. Using the division, we have that:

`(55)/(10)=5.5`

is the constant of proportionality of this line.

Answer - A: 5.5