Question

The point 5 5/8, 2 1/4 lies on a line that represents proportional relationship. Part A Write an equation for this relationship. What is the constant of proportionality?

Answer 1

The we equation is

`y = (2)/(5)x`

The constant of proportionality is

`k = (2)/(5)`

Explanation:

The given point is

`(5 (5)/(8) ,2 (1)/(4) )`

A proportional relationship has a general equation of the form:

`y = kx`

We substitute the point into the equation to get:

`2 (1)/(4) = 5 (5)/(8)k`

Change to improper fractions to get:

`(9)/(4) = (45)/(8)k`

We multiply through by

`(8)/(45)`

This gives us:

`(8)/(45) * (9)/(4) = k`

`k = (2)/(5)`

The equation is

`y = (2)/(5)x`