Constant of proportionality, step by step
In a proportional table one number turns every x into its y.
The question
x3679y24485672y =x
Write the equation for the table in the form y = kx.
x: 3, 6, 7, 9 y: 24, 48, 56, 72
x3679y24485672
24÷3=8
48÷6=8
y=8x
- In a proportional table every y is its x times the SAME number — the constant of proportionality. Find it by dividing a y by its own x.
- Take the first column: 24 ÷ 3 = 8.
- Check another column so it is not a fluke: 48 ÷ 6 = 8. Every column gives 8, so the constant is 8.
- So the equation is y = 8x — it says "each y is x times 8".
How it works.
- 01
In a proportional table every y is its x times the SAME number — the constant of proportionality. Find it by dividing a y by its own x.
- 02
Take the first column: 24 ÷ 3 = 8.
- 03
Check another column so it is not a fluke: 48 ÷ 6 = 8. Every column gives 8, so the constant is 8.
- 04
So the equation is y = 8x — it says "each y is x times 8".