The following graph shows a proportional relationship What is the constant of proportionality between y and z in the graph?
y
6
5-
4
3+
2+
1+
6
Constant of proportionality=

The constant of proportionality between 'y' and 'x' in the graph is 0.75

Step-by-step explanation:

The constant of proportionality is the constant ratio between two quantities that are directly proportional.

When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other

From the graph we have;

When x = 0, y = 0, all graphs of directly proportional relationships have  x = 0 when y = 0

However;

When x = 2, y = 1.5

When there is an 100% increase, we have;

When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3

Therefore, when x = 4, y = 3

The constant of proportionality = The ratio between each 'y' and 'x' value

∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75

Therefore;

The constant of proportionality between 'y' and 'x' in the graph = 0.75.