Question

Proportional constant

Answer 1

The value of the proportionality constant (y to x) is: 3/10

Explanation:

We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.

i.e. y = kx

and k = y/x

Given the points

• (100, 30)

• (300, 90)

• (500, 150)

We know that the proportionality constant (y to x) is:

k = y/x

For the point (100, 30)

k = 30/100=3/10

For the point (300, 90)

k = 90/300=3/10

For the point (500, 150)

k = 150/500=3/10

As the value of proportionality constant (y to x) is the same.

i.e. k = 3/10

Thus, the value of the proportionality constant (y to x) is: 3/10