Question

Both lines on the graph represent proportional relationships. What is the constant

of proportionality for each relationship? Explain how you know.

Answer 1

k = 3 and k = 1

Explanation:

Given that the relationship is proportional then the equation relating the quantities is

y = kx ← k is the constant of proportion

To find k divide both sides by x , then

k =
`(y)/(x)`

For graph a use the point (2, 6 ), then

k =
`(6)/(2)` = 3

For graph b use the point (4, 4 ), then

k =
`(4)/(4)` = 1