Question

This graph has a proportional relationship.
What is the constant of proportionality?

Answer 1

k =
`(9)/(8)`

Explanation:

the equation for a proportional relationship is

y = kx ← k is the constant of proportionality

divide both sides by x

`(y)/(x)` = k

using the point (
`(2)/(3)`,
`(3)/(4)` ) with x =
`(2)/(3)` and y =
`(3)/(4)` , then

k =
`((3)/(4) )/((2)/(3) )` =
`(3)/(4)` ×
`(3)/(2)` =
`(3(3))/(4(2))` =
`(9)/(8)`